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Finding the Fourth Proportional to 73,138.76, 109,708.14 and 17,734.76

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Solution

The fourth proportional to 73,138.76, 109,708.14 and 17,734.76 is: 26,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,138.76 : 109,708.14 = 17,734.76 : x
  2. Step 2: Convert to fraction form
    73,138.76/109,708.14 = 17,734.76/x
  3. Step 3: Cross multiply
    73,138.76x = 109,708.14 × 17,734.76
  4. Step 4: Simplify right side
    73,138.76x = 1,945,647,532.95
  5. Step 5: Solve for x
    x = 1,945,647,532.95/73,138.76
  6. Step 6: Final answer
    x = 26,602.14

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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.