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Finding the Fourth Proportional to 32,164.56, 48,229.16 and 9,971.78

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Solution

The fourth proportional to 32,164.56, 48,229.16 and 9,971.78 is: 14,952.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164.56 : 48,229.16 = 9,971.78 : x
  2. Step 2: Convert to fraction form
    32,164.56/48,229.16 = 9,971.78/x
  3. Step 3: Cross multiply
    32,164.56x = 48,229.16 × 9,971.78
  4. Step 4: Simplify right side
    32,164.56x = 480,930,282.10
  5. Step 5: Solve for x
    x = 480,930,282.10/32,164.56
  6. Step 6: Final answer
    x = 14,952.18

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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.