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Finding the Fourth Proportional to 71,963.64, 107,946.72 and 27,592.92

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Solution

The fourth proportional to 71,963.64, 107,946.72 and 27,592.92 is: 41,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,963.64 : 107,946.72 = 27,592.92 : x
  2. Step 2: Convert to fraction form
    71,963.64/107,946.72 = 27,592.92/x
  3. Step 3: Cross multiply
    71,963.64x = 107,946.72 × 27,592.92
  4. Step 4: Simplify right side
    71,963.64x = 2,978,565,209.22
  5. Step 5: Solve for x
    x = 2,978,565,209.22/71,963.64
  6. Step 6: Final answer
    x = 41,389.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.