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Finding the Fourth Proportional to 75,251.89, 103,849.59 and 42,543.70

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Solution

The fourth proportional to 75,251.89, 103,849.59 and 42,543.70 is: 58,711.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,251.89 : 103,849.59 = 42,543.70 : x
  2. Step 2: Convert to fraction form
    75,251.89/103,849.59 = 42,543.70/x
  3. Step 3: Cross multiply
    75,251.89x = 103,849.59 × 42,543.70
  4. Step 4: Simplify right side
    75,251.89x = 4,418,145,802.08
  5. Step 5: Solve for x
    x = 4,418,145,802.08/75,251.89
  6. Step 6: Final answer
    x = 58,711.43

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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.