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Finding the Fourth Proportional to 32,115.42, 48,173.67 and 8,742.42

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Solution

The fourth proportional to 32,115.42, 48,173.67 and 8,742.42 is: 13,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.42 : 48,173.67 = 8,742.42 : x
  2. Step 2: Convert to fraction form
    32,115.42/48,173.67 = 8,742.42/x
  3. Step 3: Cross multiply
    32,115.42x = 48,173.67 × 8,742.42
  4. Step 4: Simplify right side
    32,115.42x = 421,154,456.08
  5. Step 5: Solve for x
    x = 421,154,456.08/32,115.42
  6. Step 6: Final answer
    x = 13,113.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.