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Finding the Fourth Proportional to 48,192, 66,474.24 and 41,433.60

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Solution

The fourth proportional to 48,192, 66,474.24 and 41,433.60 is: 57,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,192 : 66,474.24 = 41,433.60 : x
  2. Step 2: Convert to fraction form
    48,192/66,474.24 = 41,433.60/x
  3. Step 3: Cross multiply
    48,192x = 66,474.24 × 41,433.60
  4. Step 4: Simplify right side
    48,192x = 2,754,267,070.46
  5. Step 5: Solve for x
    x = 2,754,267,070.46/48,192
  6. Step 6: Final answer
    x = 57,151.96

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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.