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Finding the Fourth Proportional to 83,224.13, 114,849.70 and 45,498.38

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Solution

The fourth proportional to 83,224.13, 114,849.70 and 45,498.38 is: 62,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,224.13 : 114,849.70 = 45,498.38 : x
  2. Step 2: Convert to fraction form
    83,224.13/114,849.70 = 45,498.38/x
  3. Step 3: Cross multiply
    83,224.13x = 114,849.70 × 45,498.38
  4. Step 4: Simplify right side
    83,224.13x = 5,225,474,605.49
  5. Step 5: Solve for x
    x = 5,225,474,605.49/83,224.13
  6. Step 6: Final answer
    x = 62,787.98

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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.