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Finding the Fourth Proportional to 42,064.71, 57,931.19 and 41,146.17

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Solution

The fourth proportional to 42,064.71, 57,931.19 and 41,146.17 is: 56,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,064.71 : 57,931.19 = 41,146.17 : x
  2. Step 2: Convert to fraction form
    42,064.71/57,931.19 = 41,146.17/x
  3. Step 3: Cross multiply
    42,064.71x = 57,931.19 × 41,146.17
  4. Step 4: Simplify right side
    42,064.71x = 2,383,646,592.04
  5. Step 5: Solve for x
    x = 2,383,646,592.04/42,064.71
  6. Step 6: Final answer
    x = 56,666.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.