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Finding the Fourth Proportional to 73,140.78, 109,714.97 and 23,224.79

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Solution

The fourth proportional to 73,140.78, 109,714.97 and 23,224.79 is: 34,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,140.78 : 109,714.97 = 23,224.79 : x
  2. Step 2: Convert to fraction form
    73,140.78/109,714.97 = 23,224.79/x
  3. Step 3: Cross multiply
    73,140.78x = 109,714.97 × 23,224.79
  4. Step 4: Simplify right side
    73,140.78x = 2,548,107,138.11
  5. Step 5: Solve for x
    x = 2,548,107,138.11/73,140.78
  6. Step 6: Final answer
    x = 34,838.39

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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.