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Finding the Fourth Proportional to 83,227.38, 114,854.19 and 45,501.63

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Solution

The fourth proportional to 83,227.38, 114,854.19 and 45,501.63 is: 62,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.38 : 114,854.19 = 45,501.63 : x
  2. Step 2: Convert to fraction form
    83,227.38/114,854.19 = 45,501.63/x
  3. Step 3: Cross multiply
    83,227.38x = 114,854.19 × 45,501.63
  4. Step 4: Simplify right side
    83,227.38x = 5,226,052,857.33
  5. Step 5: Solve for x
    x = 5,226,052,857.33/83,227.38
  6. Step 6: Final answer
    x = 62,792.47

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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.