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Finding the Fourth Proportional to 71,494.62, 107,242.75 and 21,575.15

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Solution

The fourth proportional to 71,494.62, 107,242.75 and 21,575.15 is: 32,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,494.62 : 107,242.75 = 21,575.15 : x
  2. Step 2: Convert to fraction form
    71,494.62/107,242.75 = 21,575.15/x
  3. Step 3: Cross multiply
    71,494.62x = 107,242.75 × 21,575.15
  4. Step 4: Simplify right side
    71,494.62x = 2,313,778,417.66
  5. Step 5: Solve for x
    x = 2,313,778,417.66/71,494.62
  6. Step 6: Final answer
    x = 32,362.97

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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.