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Finding the Fourth Proportional to 47,800.86, 65,954.31 and 27,657.24

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Solution

The fourth proportional to 47,800.86, 65,954.31 and 27,657.24 is: 38,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,800.86 : 65,954.31 = 27,657.24 : x
  2. Step 2: Convert to fraction form
    47,800.86/65,954.31 = 27,657.24/x
  3. Step 3: Cross multiply
    47,800.86x = 65,954.31 × 27,657.24
  4. Step 4: Simplify right side
    47,800.86x = 1,824,114,180.70
  5. Step 5: Solve for x
    x = 1,824,114,180.70/47,800.86
  6. Step 6: Final answer
    x = 38,160.70

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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.