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Finding the Fourth Proportional to 32,375.84, 48,524.84 and 13,648.64

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Solution

The fourth proportional to 32,375.84, 48,524.84 and 13,648.64 is: 20,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375.84 : 48,524.84 = 13,648.64 : x
  2. Step 2: Convert to fraction form
    32,375.84/48,524.84 = 13,648.64/x
  3. Step 3: Cross multiply
    32,375.84x = 48,524.84 × 13,648.64
  4. Step 4: Simplify right side
    32,375.84x = 662,298,072.22
  5. Step 5: Solve for x
    x = 662,298,072.22/32,375.84
  6. Step 6: Final answer
    x = 20,456.55

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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.