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Finding the Fourth Proportional to 65,251.20, 90,051.84 and 36,963.84

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Solution

The fourth proportional to 65,251.20, 90,051.84 and 36,963.84 is: 51,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,251.20 : 90,051.84 = 36,963.84 : x
  2. Step 2: Convert to fraction form
    65,251.20/90,051.84 = 36,963.84/x
  3. Step 3: Cross multiply
    65,251.20x = 90,051.84 × 36,963.84
  4. Step 4: Simplify right side
    65,251.20x = 3,328,661,805.47
  5. Step 5: Solve for x
    x = 3,328,661,805.47/65,251.20
  6. Step 6: Final answer
    x = 51,013.04

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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.