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Finding the Fourth Proportional to 47,377.44, 65,364.24 and 28,252.32

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Solution

The fourth proportional to 47,377.44, 65,364.24 and 28,252.32 is: 38,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,377.44 : 65,364.24 = 28,252.32 : x
  2. Step 2: Convert to fraction form
    47,377.44/65,364.24 = 28,252.32/x
  3. Step 3: Cross multiply
    47,377.44x = 65,364.24 × 28,252.32
  4. Step 4: Simplify right side
    47,377.44x = 1,846,691,425.04
  5. Step 5: Solve for x
    x = 1,846,691,425.04/47,377.44
  6. Step 6: Final answer
    x = 38,978.29

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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.