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Finding the Fourth Proportional to 91,779,764.16, 137,694,871.80 and 27,083,575.92

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Solution

The fourth proportional to 91,779,764.16, 137,694,871.80 and 27,083,575.92 is: 40,632,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,779,764.16 : 137,694,871.80 = 27,083,575.92 : x
  2. Step 2: Convert to fraction form
    91,779,764.16/137,694,871.80 = 27,083,575.92/x
  3. Step 3: Cross multiply
    91,779,764.16x = 137,694,871.80 × 27,083,575.92
  4. Step 4: Simplify right side
    91,779,764.16x = 3,729,269,514,189,967.50
  5. Step 5: Solve for x
    x = 3,729,269,514,189,967.50/91,779,764.16
  6. Step 6: Final answer
    x = 40,632,807.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.