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Finding the Fourth Proportional to 32,568.42, 48,819.66 and 12,860.88

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Solution

The fourth proportional to 32,568.42, 48,819.66 and 12,860.88 is: 19,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568.42 : 48,819.66 = 12,860.88 : x
  2. Step 2: Convert to fraction form
    32,568.42/48,819.66 = 12,860.88/x
  3. Step 3: Cross multiply
    32,568.42x = 48,819.66 × 12,860.88
  4. Step 4: Simplify right side
    32,568.42x = 627,863,788.90
  5. Step 5: Solve for x
    x = 627,863,788.90/32,568.42
  6. Step 6: Final answer
    x = 19,278.30

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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.