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Finding the Fourth Proportional to 77,324.57, 106,706.17 and 45,057.19

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Solution

The fourth proportional to 77,324.57, 106,706.17 and 45,057.19 is: 62,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,324.57 : 106,706.17 = 45,057.19 : x
  2. Step 2: Convert to fraction form
    77,324.57/106,706.17 = 45,057.19/x
  3. Step 3: Cross multiply
    77,324.57x = 106,706.17 × 45,057.19
  4. Step 4: Simplify right side
    77,324.57x = 4,807,879,950.58
  5. Step 5: Solve for x
    x = 4,807,879,950.58/77,324.57
  6. Step 6: Final answer
    x = 62,177.91

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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.