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Finding the Fourth Proportional to 40,445.92, 55,790 and 27,848.80

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Solution

The fourth proportional to 40,445.92, 55,790 and 27,848.80 is: 38,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,445.92 : 55,790 = 27,848.80 : x
  2. Step 2: Convert to fraction form
    40,445.92/55,790 = 27,848.80/x
  3. Step 3: Cross multiply
    40,445.92x = 55,790 × 27,848.80
  4. Step 4: Simplify right side
    40,445.92x = 1,553,684,552
  5. Step 5: Solve for x
    x = 1,553,684,552/40,445.92
  6. Step 6: Final answer
    x = 38,413.88

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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.