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Finding the Fourth Proportional to 83,491.30, 115,222.41 and 45,767.14

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Solution

The fourth proportional to 83,491.30, 115,222.41 and 45,767.14 is: 63,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,491.30 : 115,222.41 = 45,767.14 : x
  2. Step 2: Convert to fraction form
    83,491.30/115,222.41 = 45,767.14/x
  3. Step 3: Cross multiply
    83,491.30x = 115,222.41 × 45,767.14
  4. Step 4: Simplify right side
    83,491.30x = 5,273,400,169.61
  5. Step 5: Solve for x
    x = 5,273,400,169.61/83,491.30
  6. Step 6: Final answer
    x = 63,161.07

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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.