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Finding the Fourth Proportional to 71,301.22, 106,930.22 and 29,738.50

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Solution

The fourth proportional to 71,301.22, 106,930.22 and 29,738.50 is: 44,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,301.22 : 106,930.22 = 29,738.50 : x
  2. Step 2: Convert to fraction form
    71,301.22/106,930.22 = 29,738.50/x
  3. Step 3: Cross multiply
    71,301.22x = 106,930.22 × 29,738.50
  4. Step 4: Simplify right side
    71,301.22x = 3,179,944,347.47
  5. Step 5: Solve for x
    x = 3,179,944,347.47/71,301.22
  6. Step 6: Final answer
    x = 44,598.74

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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.