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Finding the Fourth Proportional to 71,274.35, 106,935.28 and 23,894.13

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Solution

The fourth proportional to 71,274.35, 106,935.28 and 23,894.13 is: 35,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,274.35 : 106,935.28 = 23,894.13 : x
  2. Step 2: Convert to fraction form
    71,274.35/106,935.28 = 23,894.13/x
  3. Step 3: Cross multiply
    71,274.35x = 106,935.28 × 23,894.13
  4. Step 4: Simplify right side
    71,274.35x = 2,555,125,481.91
  5. Step 5: Solve for x
    x = 2,555,125,481.91/71,274.35
  6. Step 6: Final answer
    x = 35,849.16

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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.