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Finding the Fourth Proportional to 31,959.58, 47,939.35 and 8,586.02

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Solution

The fourth proportional to 31,959.58, 47,939.35 and 8,586.02 is: 12,879.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,959.58 : 47,939.35 = 8,586.02 : x
  2. Step 2: Convert to fraction form
    31,959.58/47,939.35 = 8,586.02/x
  3. Step 3: Cross multiply
    31,959.58x = 47,939.35 × 8,586.02
  4. Step 4: Simplify right side
    31,959.58x = 411,608,242.48
  5. Step 5: Solve for x
    x = 411,608,242.48/31,959.58
  6. Step 6: Final answer
    x = 12,879.02

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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.