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Finding the Fourth Proportional to 71,978.70, 107,968.06 and 38,652.92

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Solution

The fourth proportional to 71,978.70, 107,968.06 and 38,652.92 is: 57,979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,978.70 : 107,968.06 = 38,652.92 : x
  2. Step 2: Convert to fraction form
    71,978.70/107,968.06 = 38,652.92/x
  3. Step 3: Cross multiply
    71,978.70x = 107,968.06 × 38,652.92
  4. Step 4: Simplify right side
    71,978.70x = 4,173,280,785.74
  5. Step 5: Solve for x
    x = 4,173,280,785.74/71,978.70
  6. Step 6: Final answer
    x = 57,979.39

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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.