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Finding the Fourth Proportional to 80,967.52, 121,431.68 and 41,504.32

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Solution

The fourth proportional to 80,967.52, 121,431.68 and 41,504.32 is: 62,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,967.52 : 121,431.68 = 41,504.32 : x
  2. Step 2: Convert to fraction form
    80,967.52/121,431.68 = 41,504.32/x
  3. Step 3: Cross multiply
    80,967.52x = 121,431.68 × 41,504.32
  4. Step 4: Simplify right side
    80,967.52x = 5,039,939,304.86
  5. Step 5: Solve for x
    x = 5,039,939,304.86/80,967.52
  6. Step 6: Final answer
    x = 62,246.43

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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.