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Finding the Fourth Proportional to 32,147.33, 48,227.88 and 16,354.56

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Solution

The fourth proportional to 32,147.33, 48,227.88 and 16,354.56 is: 24,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.33 : 48,227.88 = 16,354.56 : x
  2. Step 2: Convert to fraction form
    32,147.33/48,227.88 = 16,354.56/x
  3. Step 3: Cross multiply
    32,147.33x = 48,227.88 × 16,354.56
  4. Step 4: Simplify right side
    32,147.33x = 788,745,757.13
  5. Step 5: Solve for x
    x = 788,745,757.13/32,147.33
  6. Step 6: Final answer
    x = 24,535.35

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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.