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Finding the Fourth Proportional to 42,382.50, 58,489.68 and 23,519.63

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Solution

The fourth proportional to 42,382.50, 58,489.68 and 23,519.63 is: 32,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,382.50 : 58,489.68 = 23,519.63 : x
  2. Step 2: Convert to fraction form
    42,382.50/58,489.68 = 23,519.63/x
  3. Step 3: Cross multiply
    42,382.50x = 58,489.68 × 23,519.63
  4. Step 4: Simplify right side
    42,382.50x = 1,375,655,339.97
  5. Step 5: Solve for x
    x = 1,375,655,339.97/42,382.50
  6. Step 6: Final answer
    x = 32,458.10

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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.