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Finding the Fourth Proportional to 71,824.68, 107,590.14 and 58,545

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Solution

The fourth proportional to 71,824.68, 107,590.14 and 58,545 is: 87,697.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,824.68 : 107,590.14 = 58,545 : x
  2. Step 2: Convert to fraction form
    71,824.68/107,590.14 = 58,545/x
  3. Step 3: Cross multiply
    71,824.68x = 107,590.14 × 58,545
  4. Step 4: Simplify right side
    71,824.68x = 6,298,864,746.30
  5. Step 5: Solve for x
    x = 6,298,864,746.30/71,824.68
  6. Step 6: Final answer
    x = 87,697.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.