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Finding the Fourth Proportional to 83,882.38, 125,830.54 and 36,499.10

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Solution

The fourth proportional to 83,882.38, 125,830.54 and 36,499.10 is: 54,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,882.38 : 125,830.54 = 36,499.10 : x
  2. Step 2: Convert to fraction form
    83,882.38/125,830.54 = 36,499.10/x
  3. Step 3: Cross multiply
    83,882.38x = 125,830.54 × 36,499.10
  4. Step 4: Simplify right side
    83,882.38x = 4,592,701,462.51
  5. Step 5: Solve for x
    x = 4,592,701,462.51/83,882.38
  6. Step 6: Final answer
    x = 54,751.68

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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.