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Finding the Fourth Proportional to 48,158.23, 66,463.37 and 27,741

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Solution

The fourth proportional to 48,158.23, 66,463.37 and 27,741 is: 38,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,158.23 : 66,463.37 = 27,741 : x
  2. Step 2: Convert to fraction form
    48,158.23/66,463.37 = 27,741/x
  3. Step 3: Cross multiply
    48,158.23x = 66,463.37 × 27,741
  4. Step 4: Simplify right side
    48,158.23x = 1,843,760,347.17
  5. Step 5: Solve for x
    x = 1,843,760,347.17/48,158.23
  6. Step 6: Final answer
    x = 38,285.47

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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.