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Finding the Fourth Proportional to 83,346.38, 115,018.02 and 45,105.94

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Solution

The fourth proportional to 83,346.38, 115,018.02 and 45,105.94 is: 62,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,346.38 : 115,018.02 = 45,105.94 : x
  2. Step 2: Convert to fraction form
    83,346.38/115,018.02 = 45,105.94/x
  3. Step 3: Cross multiply
    83,346.38x = 115,018.02 × 45,105.94
  4. Step 4: Simplify right side
    83,346.38x = 5,187,995,909.04
  5. Step 5: Solve for x
    x = 5,187,995,909.04/83,346.38
  6. Step 6: Final answer
    x = 62,246.21

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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.