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Finding the Fourth Proportional to 57,658.64, 86,332.16 and 29,898.32

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Solution

The fourth proportional to 57,658.64, 86,332.16 and 29,898.32 is: 44,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,658.64 : 86,332.16 = 29,898.32 : x
  2. Step 2: Convert to fraction form
    57,658.64/86,332.16 = 29,898.32/x
  3. Step 3: Cross multiply
    57,658.64x = 86,332.16 × 29,898.32
  4. Step 4: Simplify right side
    57,658.64x = 2,581,186,545.97
  5. Step 5: Solve for x
    x = 2,581,186,545.97/57,658.64
  6. Step 6: Final answer
    x = 44,766.69

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1.5x scale

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.