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Finding the Fourth Proportional to 82,588.40, 123,882.92 and 23,422.32

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Solution

The fourth proportional to 82,588.40, 123,882.92 and 23,422.32 is: 35,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,588.40 : 123,882.92 = 23,422.32 : x
  2. Step 2: Convert to fraction form
    82,588.40/123,882.92 = 23,422.32/x
  3. Step 3: Cross multiply
    82,588.40x = 123,882.92 × 23,422.32
  4. Step 4: Simplify right side
    82,588.40x = 2,901,625,394.77
  5. Step 5: Solve for x
    x = 2,901,625,394.77/82,588.40
  6. Step 6: Final answer
    x = 35,133.57

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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.