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Finding the Fourth Proportional to 71,079.72, 106,608.60 and 24,321.84

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Solution

The fourth proportional to 71,079.72, 106,608.60 and 24,321.84 is: 36,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,079.72 : 106,608.60 = 24,321.84 : x
  2. Step 2: Convert to fraction form
    71,079.72/106,608.60 = 24,321.84/x
  3. Step 3: Cross multiply
    71,079.72x = 106,608.60 × 24,321.84
  4. Step 4: Simplify right side
    71,079.72x = 2,592,917,311.82
  5. Step 5: Solve for x
    x = 2,592,917,311.82/71,079.72
  6. Step 6: Final answer
    x = 36,479.00

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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.