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Finding the Fourth Proportional to 32,478.01, 48,725.57 and 13,758.80

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Solution

The fourth proportional to 32,478.01, 48,725.57 and 13,758.80 is: 20,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478.01 : 48,725.57 = 13,758.80 : x
  2. Step 2: Convert to fraction form
    32,478.01/48,725.57 = 13,758.80/x
  3. Step 3: Cross multiply
    32,478.01x = 48,725.57 × 13,758.80
  4. Step 4: Simplify right side
    32,478.01x = 670,405,425.54
  5. Step 5: Solve for x
    x = 670,405,425.54/32,478.01
  6. Step 6: Final answer
    x = 20,641.83

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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.