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Finding the Fourth Proportional to 71,064.40, 106,456.20 and 36,029.20

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Solution

The fourth proportional to 71,064.40, 106,456.20 and 36,029.20 is: 53,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,064.40 : 106,456.20 = 36,029.20 : x
  2. Step 2: Convert to fraction form
    71,064.40/106,456.20 = 36,029.20/x
  3. Step 3: Cross multiply
    71,064.40x = 106,456.20 × 36,029.20
  4. Step 4: Simplify right side
    71,064.40x = 3,835,531,721.04
  5. Step 5: Solve for x
    x = 3,835,531,721.04/71,064.40
  6. Step 6: Final answer
    x = 53,972.62

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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.