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Finding the Fourth Proportional to 83,269.13, 114,911.42 and 45,543.38

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Solution

The fourth proportional to 83,269.13, 114,911.42 and 45,543.38 is: 62,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,269.13 : 114,911.42 = 45,543.38 : x
  2. Step 2: Convert to fraction form
    83,269.13/114,911.42 = 45,543.38/x
  3. Step 3: Cross multiply
    83,269.13x = 114,911.42 × 45,543.38
  4. Step 4: Simplify right side
    83,269.13x = 5,233,453,665.13
  5. Step 5: Solve for x
    x = 5,233,453,665.13/83,269.13
  6. Step 6: Final answer
    x = 62,849.87

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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.