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Finding the Fourth Proportional to 110,963.72, 166,421.21 and 32,060.78

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Solution

The fourth proportional to 110,963.72, 166,421.21 and 32,060.78 is: 48,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,963.72 : 166,421.21 = 32,060.78 : x
  2. Step 2: Convert to fraction form
    110,963.72/166,421.21 = 32,060.78/x
  3. Step 3: Cross multiply
    110,963.72x = 166,421.21 × 32,060.78
  4. Step 4: Simplify right side
    110,963.72x = 5,335,593,049.19
  5. Step 5: Solve for x
    x = 5,335,593,049.19/110,963.72
  6. Step 6: Final answer
    x = 48,084.12

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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.