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Finding the Fourth Proportional to 77,463.34, 106,863.90 and 45,616.97

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Solution

The fourth proportional to 77,463.34, 106,863.90 and 45,616.97 is: 62,930.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,463.34 : 106,863.90 = 45,616.97 : x
  2. Step 2: Convert to fraction form
    77,463.34/106,863.90 = 45,616.97/x
  3. Step 3: Cross multiply
    77,463.34x = 106,863.90 × 45,616.97
  4. Step 4: Simplify right side
    77,463.34x = 4,874,807,320.38
  5. Step 5: Solve for x
    x = 4,874,807,320.38/77,463.34
  6. Step 6: Final answer
    x = 62,930.51

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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.