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Finding the Fourth Proportional to 82,834.75, 114,313.17 and 45,109

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Solution

The fourth proportional to 82,834.75, 114,313.17 and 45,109 is: 62,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,834.75 : 114,313.17 = 45,109 : x
  2. Step 2: Convert to fraction form
    82,834.75/114,313.17 = 45,109/x
  3. Step 3: Cross multiply
    82,834.75x = 114,313.17 × 45,109
  4. Step 4: Simplify right side
    82,834.75x = 5,156,552,785.53
  5. Step 5: Solve for x
    x = 5,156,552,785.53/82,834.75
  6. Step 6: Final answer
    x = 62,251.08

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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.