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Finding the Fourth Proportional to 42,227.65, 58,265.01 and 26,920

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Solution

The fourth proportional to 42,227.65, 58,265.01 and 26,920 is: 37,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,227.65 : 58,265.01 = 26,920 : x
  2. Step 2: Convert to fraction form
    42,227.65/58,265.01 = 26,920/x
  3. Step 3: Cross multiply
    42,227.65x = 58,265.01 × 26,920
  4. Step 4: Simplify right side
    42,227.65x = 1,568,494,069.20
  5. Step 5: Solve for x
    x = 1,568,494,069.20/42,227.65
  6. Step 6: Final answer
    x = 37,143.77

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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.