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Finding the Fourth Proportional to 42,382.74, 58,486.21 and 23,519.70

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Solution

The fourth proportional to 42,382.74, 58,486.21 and 23,519.70 is: 32,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,382.74 : 58,486.21 = 23,519.70 : x
  2. Step 2: Convert to fraction form
    42,382.74/58,486.21 = 23,519.70/x
  3. Step 3: Cross multiply
    42,382.74x = 58,486.21 × 23,519.70
  4. Step 4: Simplify right side
    42,382.74x = 1,375,578,113.34
  5. Step 5: Solve for x
    x = 1,375,578,113.34/42,382.74
  6. Step 6: Final answer
    x = 32,456.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.