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Finding the Fourth Proportional to 91,566.86, 137,334.49 and 27,524.00

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Solution

The fourth proportional to 91,566.86, 137,334.49 and 27,524.00 is: 41,281.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,566.86 : 137,334.49 = 27,524.00 : x
  2. Step 2: Convert to fraction form
    91,566.86/137,334.49 = 27,524.00/x
  3. Step 3: Cross multiply
    91,566.86x = 137,334.49 × 27,524.00
  4. Step 4: Simplify right side
    91,566.86x = 3,779,994,777.29
  5. Step 5: Solve for x
    x = 3,779,994,777.29/91,566.86
  6. Step 6: Final answer
    x = 41,281.26

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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.