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Finding the Fourth Proportional to 32,200.80, 48,301.20 and 16,454.40

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Solution

The fourth proportional to 32,200.80, 48,301.20 and 16,454.40 is: 24,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.80 : 48,301.20 = 16,454.40 : x
  2. Step 2: Convert to fraction form
    32,200.80/48,301.20 = 16,454.40/x
  3. Step 3: Cross multiply
    32,200.80x = 48,301.20 × 16,454.40
  4. Step 4: Simplify right side
    32,200.80x = 794,767,265.28
  5. Step 5: Solve for x
    x = 794,767,265.28/32,200.80
  6. Step 6: Final answer
    x = 24,681.60

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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.