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Finding the Fourth Proportional to 23,456.46, 35,097.18 and 23,194.02

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Solution

The fourth proportional to 23,456.46, 35,097.18 and 23,194.02 is: 34,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.46 : 35,097.18 = 23,194.02 : x
  2. Step 2: Convert to fraction form
    23,456.46/35,097.18 = 23,194.02/x
  3. Step 3: Cross multiply
    23,456.46x = 35,097.18 × 23,194.02
  4. Step 4: Simplify right side
    23,456.46x = 814,044,694.86
  5. Step 5: Solve for x
    x = 814,044,694.86/23,456.46
  6. Step 6: Final answer
    x = 34,704.50

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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.