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Finding the Fourth Proportional to 51,982.71, 78,027.91 and 32,006.59

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Solution

The fourth proportional to 51,982.71, 78,027.91 and 32,006.59 is: 48,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982.71 : 78,027.91 = 32,006.59 : x
  2. Step 2: Convert to fraction form
    51,982.71/78,027.91 = 32,006.59/x
  3. Step 3: Cross multiply
    51,982.71x = 78,027.91 × 32,006.59
  4. Step 4: Simplify right side
    51,982.71x = 2,497,407,487.75
  5. Step 5: Solve for x
    x = 2,497,407,487.75/51,982.71
  6. Step 6: Final answer
    x = 48,043.04

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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.