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Finding the Fourth Proportional to 29,189.76, 43,778.16 and 8,414.88

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Solution

The fourth proportional to 29,189.76, 43,778.16 and 8,414.88 is: 12,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189.76 : 43,778.16 = 8,414.88 : x
  2. Step 2: Convert to fraction form
    29,189.76/43,778.16 = 8,414.88/x
  3. Step 3: Cross multiply
    29,189.76x = 43,778.16 × 8,414.88
  4. Step 4: Simplify right side
    29,189.76x = 368,387,963.02
  5. Step 5: Solve for x
    x = 368,387,963.02/29,189.76
  6. Step 6: Final answer
    x = 12,620.45

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1.5x scale

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.