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Finding the Fourth Proportional to 75,685.88, 104,446.52 and 42,151.88

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Solution

The fourth proportional to 75,685.88, 104,446.52 and 42,151.88 is: 58,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,685.88 : 104,446.52 = 42,151.88 : x
  2. Step 2: Convert to fraction form
    75,685.88/104,446.52 = 42,151.88/x
  3. Step 3: Cross multiply
    75,685.88x = 104,446.52 × 42,151.88
  4. Step 4: Simplify right side
    75,685.88x = 4,402,616,444.47
  5. Step 5: Solve for x
    x = 4,402,616,444.47/75,685.88
  6. Step 6: Final answer
    x = 58,169.59

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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.