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Finding the Fourth Proportional to 138,565.52, 207,848.37 and 33,384.59

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Solution

The fourth proportional to 138,565.52, 207,848.37 and 33,384.59 is: 50,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,565.52 : 207,848.37 = 33,384.59 : x
  2. Step 2: Convert to fraction form
    138,565.52/207,848.37 = 33,384.59/x
  3. Step 3: Cross multiply
    138,565.52x = 207,848.37 × 33,384.59
  4. Step 4: Simplify right side
    138,565.52x = 6,938,931,575.38
  5. Step 5: Solve for x
    x = 6,938,931,575.38/138,565.52
  6. Step 6: Final answer
    x = 50,076.90

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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.