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Finding the Fourth Proportional to 120,915.66, 181,373.25 and 32,169.27

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Solution

The fourth proportional to 120,915.66, 181,373.25 and 32,169.27 is: 48,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,915.66 : 181,373.25 = 32,169.27 : x
  2. Step 2: Convert to fraction form
    120,915.66/181,373.25 = 32,169.27/x
  3. Step 3: Cross multiply
    120,915.66x = 181,373.25 × 32,169.27
  4. Step 4: Simplify right side
    120,915.66x = 5,834,645,050.03
  5. Step 5: Solve for x
    x = 5,834,645,050.03/120,915.66
  6. Step 6: Final answer
    x = 48,253.84

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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.