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Finding the Fourth Proportional to 42,649.11, 58,793.47 and 29,862

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Solution

The fourth proportional to 42,649.11, 58,793.47 and 29,862 is: 41,165.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,649.11 : 58,793.47 = 29,862 : x
  2. Step 2: Convert to fraction form
    42,649.11/58,793.47 = 29,862/x
  3. Step 3: Cross multiply
    42,649.11x = 58,793.47 × 29,862
  4. Step 4: Simplify right side
    42,649.11x = 1,755,690,526.49
  5. Step 5: Solve for x
    x = 1,755,690,526.49/42,649.11
  6. Step 6: Final answer
    x = 41,165.94

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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.