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Finding the Fourth Proportional to 83,038.08, 114,591.92 and 47,228.04

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Solution

The fourth proportional to 83,038.08, 114,591.92 and 47,228.04 is: 65,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,038.08 : 114,591.92 = 47,228.04 : x
  2. Step 2: Convert to fraction form
    83,038.08/114,591.92 = 47,228.04/x
  3. Step 3: Cross multiply
    83,038.08x = 114,591.92 × 47,228.04
  4. Step 4: Simplify right side
    83,038.08x = 5,411,951,781.44
  5. Step 5: Solve for x
    x = 5,411,951,781.44/83,038.08
  6. Step 6: Final answer
    x = 65,174.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.