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Finding the Fourth Proportional to 47,940.56, 66,151.74 and 27,793.16

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Solution

The fourth proportional to 47,940.56, 66,151.74 and 27,793.16 is: 38,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,940.56 : 66,151.74 = 27,793.16 : x
  2. Step 2: Convert to fraction form
    47,940.56/66,151.74 = 27,793.16/x
  3. Step 3: Cross multiply
    47,940.56x = 66,151.74 × 27,793.16
  4. Step 4: Simplify right side
    47,940.56x = 1,838,565,894.10
  5. Step 5: Solve for x
    x = 1,838,565,894.10/47,940.56
  6. Step 6: Final answer
    x = 38,350.95

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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.