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Finding the Fourth Proportional to 83,233.13, 114,861.71 and 45,507.38

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Solution

The fourth proportional to 83,233.13, 114,861.71 and 45,507.38 is: 62,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,233.13 : 114,861.71 = 45,507.38 : x
  2. Step 2: Convert to fraction form
    83,233.13/114,861.71 = 45,507.38/x
  3. Step 3: Cross multiply
    83,233.13x = 114,861.71 × 45,507.38
  4. Step 4: Simplify right side
    83,233.13x = 5,227,055,023.88
  5. Step 5: Solve for x
    x = 5,227,055,023.88/83,233.13
  6. Step 6: Final answer
    x = 62,800.18

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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.