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Finding the Fourth Proportional to 65,160.64, 97,753.16 and 29,624.56

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Solution

The fourth proportional to 65,160.64, 97,753.16 and 29,624.56 is: 44,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,160.64 : 97,753.16 = 29,624.56 : x
  2. Step 2: Convert to fraction form
    65,160.64/97,753.16 = 29,624.56/x
  3. Step 3: Cross multiply
    65,160.64x = 97,753.16 × 29,624.56
  4. Step 4: Simplify right side
    65,160.64x = 2,895,894,353.61
  5. Step 5: Solve for x
    x = 2,895,894,353.61/65,160.64
  6. Step 6: Final answer
    x = 44,442.39

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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.