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Finding the Fourth Proportional to 83,039.34, 114,593.22 and 45,311.16

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Solution

The fourth proportional to 83,039.34, 114,593.22 and 45,311.16 is: 62,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,039.34 : 114,593.22 = 45,311.16 : x
  2. Step 2: Convert to fraction form
    83,039.34/114,593.22 = 45,311.16/x
  3. Step 3: Cross multiply
    83,039.34x = 114,593.22 × 45,311.16
  4. Step 4: Simplify right side
    83,039.34x = 5,192,351,726.34
  5. Step 5: Solve for x
    x = 5,192,351,726.34/83,039.34
  6. Step 6: Final answer
    x = 62,528.82

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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.