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Finding the Fourth Proportional to 83,881.38, 125,829.04 and 36,498.10

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Solution

The fourth proportional to 83,881.38, 125,829.04 and 36,498.10 is: 54,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,881.38 : 125,829.04 = 36,498.10 : x
  2. Step 2: Convert to fraction form
    83,881.38/125,829.04 = 36,498.10/x
  3. Step 3: Cross multiply
    83,881.38x = 125,829.04 × 36,498.10
  4. Step 4: Simplify right side
    83,881.38x = 4,592,520,884.82
  5. Step 5: Solve for x
    x = 4,592,520,884.82/83,881.38
  6. Step 6: Final answer
    x = 54,750.18

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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.