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Finding the Fourth Proportional to 32,149.34, 48,230.88 and 16,356.56

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Solution

The fourth proportional to 32,149.34, 48,230.88 and 16,356.56 is: 24,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.34 : 48,230.88 = 16,356.56 : x
  2. Step 2: Convert to fraction form
    32,149.34/48,230.88 = 16,356.56/x
  3. Step 3: Cross multiply
    32,149.34x = 48,230.88 × 16,356.56
  4. Step 4: Simplify right side
    32,149.34x = 788,891,282.57
  5. Step 5: Solve for x
    x = 788,891,282.57/32,149.34
  6. Step 6: Final answer
    x = 24,538.34

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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.