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Finding the Fourth Proportional to 42,834.59, 59,073.11 and 27,711.48

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Solution

The fourth proportional to 42,834.59, 59,073.11 and 27,711.48 is: 38,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,834.59 : 59,073.11 = 27,711.48 : x
  2. Step 2: Convert to fraction form
    42,834.59/59,073.11 = 27,711.48/x
  3. Step 3: Cross multiply
    42,834.59x = 59,073.11 × 27,711.48
  4. Step 4: Simplify right side
    42,834.59x = 1,637,003,167.75
  5. Step 5: Solve for x
    x = 1,637,003,167.75/42,834.59
  6. Step 6: Final answer
    x = 38,216.86

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Why These Related Problems?

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