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Finding the Fourth Proportional to 40,767.71, 61,102.02 and 29,646.68

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Solution

The fourth proportional to 40,767.71, 61,102.02 and 29,646.68 is: 44,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,767.71 : 61,102.02 = 29,646.68 : x
  2. Step 2: Convert to fraction form
    40,767.71/61,102.02 = 29,646.68/x
  3. Step 3: Cross multiply
    40,767.71x = 61,102.02 × 29,646.68
  4. Step 4: Simplify right side
    40,767.71x = 1,811,472,034.29
  5. Step 5: Solve for x
    x = 1,811,472,034.29/40,767.71
  6. Step 6: Final answer
    x = 44,433.99

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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.