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Finding the Fourth Proportional to 57,565.46, 86,292.78 and 29,498.78

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Solution

The fourth proportional to 57,565.46, 86,292.78 and 29,498.78 is: 44,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,565.46 : 86,292.78 = 29,498.78 : x
  2. Step 2: Convert to fraction form
    57,565.46/86,292.78 = 29,498.78/x
  3. Step 3: Cross multiply
    57,565.46x = 86,292.78 × 29,498.78
  4. Step 4: Simplify right side
    57,565.46x = 2,545,531,732.81
  5. Step 5: Solve for x
    x = 2,545,531,732.81/57,565.46
  6. Step 6: Final answer
    x = 44,219.78

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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.