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Finding the Fourth Proportional to 32,157.20, 48,233.40 and 13,432.40

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Solution

The fourth proportional to 32,157.20, 48,233.40 and 13,432.40 is: 20,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,157.20 : 48,233.40 = 13,432.40 : x
  2. Step 2: Convert to fraction form
    32,157.20/48,233.40 = 13,432.40/x
  3. Step 3: Cross multiply
    32,157.20x = 48,233.40 × 13,432.40
  4. Step 4: Simplify right side
    32,157.20x = 647,890,322.16
  5. Step 5: Solve for x
    x = 647,890,322.16/32,157.20
  6. Step 6: Final answer
    x = 20,147.60

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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.