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Finding the Fourth Proportional to 111,094.96, 166,608.14 and 32,215

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Solution

The fourth proportional to 111,094.96, 166,608.14 and 32,215 is: 48,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,094.96 : 166,608.14 = 32,215 : x
  2. Step 2: Convert to fraction form
    111,094.96/166,608.14 = 32,215/x
  3. Step 3: Cross multiply
    111,094.96x = 166,608.14 × 32,215
  4. Step 4: Simplify right side
    111,094.96x = 5,367,281,230.10
  5. Step 5: Solve for x
    x = 5,367,281,230.10/111,094.96
  6. Step 6: Final answer
    x = 48,312.55

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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.