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Finding the Fourth Proportional to 76,432.18, 114,647.16 and 53,849.52

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Solution

The fourth proportional to 76,432.18, 114,647.16 and 53,849.52 is: 80,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,432.18 : 114,647.16 = 53,849.52 : x
  2. Step 2: Convert to fraction form
    76,432.18/114,647.16 = 53,849.52/x
  3. Step 3: Cross multiply
    76,432.18x = 114,647.16 × 53,849.52
  4. Step 4: Simplify right side
    76,432.18x = 6,173,694,535.36
  5. Step 5: Solve for x
    x = 6,173,694,535.36/76,432.18
  6. Step 6: Final answer
    x = 80,773.50

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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.