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Finding the Fourth Proportional to 59,493.71, 82,103.91 and 35,615.78

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Solution

The fourth proportional to 59,493.71, 82,103.91 and 35,615.78 is: 49,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,493.71 : 82,103.91 = 35,615.78 : x
  2. Step 2: Convert to fraction form
    59,493.71/82,103.91 = 35,615.78/x
  3. Step 3: Cross multiply
    59,493.71x = 82,103.91 × 35,615.78
  4. Step 4: Simplify right side
    59,493.71x = 2,924,194,795.70
  5. Step 5: Solve for x
    x = 2,924,194,795.70/59,493.71
  6. Step 6: Final answer
    x = 49,151.33

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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.