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Finding the Fourth Proportional to 82,870, 114,360.62 and 45,144.24

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Solution

The fourth proportional to 82,870, 114,360.62 and 45,144.24 is: 62,299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,870 : 114,360.62 = 45,144.24 : x
  2. Step 2: Convert to fraction form
    82,870/114,360.62 = 45,144.24/x
  3. Step 3: Cross multiply
    82,870x = 114,360.62 × 45,144.24
  4. Step 4: Simplify right side
    82,870x = 5,162,723,275.83
  5. Step 5: Solve for x
    x = 5,162,723,275.83/82,870
  6. Step 6: Final answer
    x = 62,299.06

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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.