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Finding the Fourth Proportional to 83,049.93, 114,607.31 and 45,324.45

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Solution

The fourth proportional to 83,049.93, 114,607.31 and 45,324.45 is: 62,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,049.93 : 114,607.31 = 45,324.45 : x
  2. Step 2: Convert to fraction form
    83,049.93/114,607.31 = 45,324.45/x
  3. Step 3: Cross multiply
    83,049.93x = 114,607.31 × 45,324.45
  4. Step 4: Simplify right side
    83,049.93x = 5,194,513,065.11
  5. Step 5: Solve for x
    x = 5,194,513,065.11/83,049.93
  6. Step 6: Final answer
    x = 62,546.87

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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.