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Finding the Fourth Proportional to 32,191.75, 48,275.49 and 13,473.08

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Solution

The fourth proportional to 32,191.75, 48,275.49 and 13,473.08 is: 20,204.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.75 : 48,275.49 = 13,473.08 : x
  2. Step 2: Convert to fraction form
    32,191.75/48,275.49 = 13,473.08/x
  3. Step 3: Cross multiply
    32,191.75x = 48,275.49 × 13,473.08
  4. Step 4: Simplify right side
    32,191.75x = 650,419,800.54
  5. Step 5: Solve for x
    x = 650,419,800.54/32,191.75
  6. Step 6: Final answer
    x = 20,204.55

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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.