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Finding the Fourth Proportional to 85,711.69, 128,566.17 and 23,382.19

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Solution

The fourth proportional to 85,711.69, 128,566.17 and 23,382.19 is: 35,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,711.69 : 128,566.17 = 23,382.19 : x
  2. Step 2: Convert to fraction form
    85,711.69/128,566.17 = 23,382.19/x
  3. Step 3: Cross multiply
    85,711.69x = 128,566.17 × 23,382.19
  4. Step 4: Simplify right side
    85,711.69x = 3,006,158,775.22
  5. Step 5: Solve for x
    x = 3,006,158,775.22/85,711.69
  6. Step 6: Final answer
    x = 35,072.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.