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Finding the Fourth Proportional to 29,681.60, 40,947.84 and 17,098.88

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Solution

The fourth proportional to 29,681.60, 40,947.84 and 17,098.88 is: 23,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,681.60 : 40,947.84 = 17,098.88 : x
  2. Step 2: Convert to fraction form
    29,681.60/40,947.84 = 17,098.88/x
  3. Step 3: Cross multiply
    29,681.60x = 40,947.84 × 17,098.88
  4. Step 4: Simplify right side
    29,681.60x = 700,162,202.42
  5. Step 5: Solve for x
    x = 700,162,202.42/29,681.60
  6. Step 6: Final answer
    x = 23,589.10

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1.5x scale

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.