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Finding the Fourth Proportional to 71,130.30, 106,724.13 and 31,660.41

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Solution

The fourth proportional to 71,130.30, 106,724.13 and 31,660.41 is: 47,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,130.30 : 106,724.13 = 31,660.41 : x
  2. Step 2: Convert to fraction form
    71,130.30/106,724.13 = 31,660.41/x
  3. Step 3: Cross multiply
    71,130.30x = 106,724.13 × 31,660.41
  4. Step 4: Simplify right side
    71,130.30x = 3,378,929,712.69
  5. Step 5: Solve for x
    x = 3,378,929,712.69/71,130.30
  6. Step 6: Final answer
    x = 47,503.38

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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.