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Finding the Fourth Proportional to 138,462.65, 207,693.96 and 33,281.62

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Solution

The fourth proportional to 138,462.65, 207,693.96 and 33,281.62 is: 49,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,462.65 : 207,693.96 = 33,281.62 : x
  2. Step 2: Convert to fraction form
    138,462.65/207,693.96 = 33,281.62/x
  3. Step 3: Cross multiply
    138,462.65x = 207,693.96 × 33,281.62
  4. Step 4: Simplify right side
    138,462.65x = 6,912,390,808.97
  5. Step 5: Solve for x
    x = 6,912,390,808.97/138,462.65
  6. Step 6: Final answer
    x = 49,922.42

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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.