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Finding the Fourth Proportional to 78,177.92, 117,266.88 and 22,018.04

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Solution

The fourth proportional to 78,177.92, 117,266.88 and 22,018.04 is: 33,027.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177.92 : 117,266.88 = 22,018.04 : x
  2. Step 2: Convert to fraction form
    78,177.92/117,266.88 = 22,018.04/x
  3. Step 3: Cross multiply
    78,177.92x = 117,266.88 × 22,018.04
  4. Step 4: Simplify right side
    78,177.92x = 2,581,986,854.52
  5. Step 5: Solve for x
    x = 2,581,986,854.52/78,177.92
  6. Step 6: Final answer
    x = 33,027.06

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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.