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Finding the Fourth Proportional to 32,140.40, 48,217.80 and 9,954.80

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Solution

The fourth proportional to 32,140.40, 48,217.80 and 9,954.80 is: 14,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,140.40 : 48,217.80 = 9,954.80 : x
  2. Step 2: Convert to fraction form
    32,140.40/48,217.80 = 9,954.80/x
  3. Step 3: Cross multiply
    32,140.40x = 48,217.80 × 9,954.80
  4. Step 4: Simplify right side
    32,140.40x = 479,998,555.44
  5. Step 5: Solve for x
    x = 479,998,555.44/32,140.40
  6. Step 6: Final answer
    x = 14,934.43

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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.