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Finding the Fourth Proportional to 87,371.82, 120,572.83 and 47,627.82

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Solution

The fourth proportional to 87,371.82, 120,572.83 and 47,627.82 is: 65,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,371.82 : 120,572.83 = 47,627.82 : x
  2. Step 2: Convert to fraction form
    87,371.82/120,572.83 = 47,627.82/x
  3. Step 3: Cross multiply
    87,371.82x = 120,572.83 × 47,627.82
  4. Step 4: Simplify right side
    87,371.82x = 5,742,621,044.13
  5. Step 5: Solve for x
    x = 5,742,621,044.13/87,371.82
  6. Step 6: Final answer
    x = 65,726.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.