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Finding the Fourth Proportional to 47,702.28, 65,832.21 and 27,560.01

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Solution

The fourth proportional to 47,702.28, 65,832.21 and 27,560.01 is: 38,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.28 : 65,832.21 = 27,560.01 : x
  2. Step 2: Convert to fraction form
    47,702.28/65,832.21 = 27,560.01/x
  3. Step 3: Cross multiply
    47,702.28x = 65,832.21 × 27,560.01
  4. Step 4: Simplify right side
    47,702.28x = 1,814,336,365.92
  5. Step 5: Solve for x
    x = 1,814,336,365.92/47,702.28
  6. Step 6: Final answer
    x = 38,034.58

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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.