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Finding the Fourth Proportional to 34,691.81, 47,834.78 and 25,630.27

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Solution

The fourth proportional to 34,691.81, 47,834.78 and 25,630.27 is: 35,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,691.81 : 47,834.78 = 25,630.27 : x
  2. Step 2: Convert to fraction form
    34,691.81/47,834.78 = 25,630.27/x
  3. Step 3: Cross multiply
    34,691.81x = 47,834.78 × 25,630.27
  4. Step 4: Simplify right side
    34,691.81x = 1,226,018,079.05
  5. Step 5: Solve for x
    x = 1,226,018,079.05/34,691.81
  6. Step 6: Final answer
    x = 35,340.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.