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Finding the Fourth Proportional to 47,794.70, 71,671.31 and 15,764.71

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Solution

The fourth proportional to 47,794.70, 71,671.31 and 15,764.71 is: 23,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,794.70 : 71,671.31 = 15,764.71 : x
  2. Step 2: Convert to fraction form
    47,794.70/71,671.31 = 15,764.71/x
  3. Step 3: Cross multiply
    47,794.70x = 71,671.31 × 15,764.71
  4. Step 4: Simplify right side
    47,794.70x = 1,129,877,417.47
  5. Step 5: Solve for x
    x = 1,129,877,417.47/47,794.70
  6. Step 6: Final answer
    x = 23,640.22

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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.