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Finding the Fourth Proportional to 83,233.40, 114,862.57 and 45,507.65

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Solution

The fourth proportional to 83,233.40, 114,862.57 and 45,507.65 is: 62,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,233.40 : 114,862.57 = 45,507.65 : x
  2. Step 2: Convert to fraction form
    83,233.40/114,862.57 = 45,507.65/x
  3. Step 3: Cross multiply
    83,233.40x = 114,862.57 × 45,507.65
  4. Step 4: Simplify right side
    83,233.40x = 5,227,124,945.58
  5. Step 5: Solve for x
    x = 5,227,124,945.58/83,233.40
  6. Step 6: Final answer
    x = 62,800.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.