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Finding the Fourth Proportional to 32,414.97, 48,594.72 and 12,438.80

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Solution

The fourth proportional to 32,414.97, 48,594.72 and 12,438.80 is: 18,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414.97 : 48,594.72 = 12,438.80 : x
  2. Step 2: Convert to fraction form
    32,414.97/48,594.72 = 12,438.80/x
  3. Step 3: Cross multiply
    32,414.97x = 48,594.72 × 12,438.80
  4. Step 4: Simplify right side
    32,414.97x = 604,459,760.16
  5. Step 5: Solve for x
    x = 604,459,760.16/32,414.97
  6. Step 6: Final answer
    x = 18,647.55

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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.