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Finding the Fourth Proportional to 48,362.68, 72,474.90 and 27,543.16

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Solution

The fourth proportional to 48,362.68, 72,474.90 and 27,543.16 is: 41,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,362.68 : 72,474.90 = 27,543.16 : x
  2. Step 2: Convert to fraction form
    48,362.68/72,474.90 = 27,543.16/x
  3. Step 3: Cross multiply
    48,362.68x = 72,474.90 × 27,543.16
  4. Step 4: Simplify right side
    48,362.68x = 1,996,187,766.68
  5. Step 5: Solve for x
    x = 1,996,187,766.68/48,362.68
  6. Step 6: Final answer
    x = 41,275.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.