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Finding the Fourth Proportional to 34,524.41, 47,627.60 and 22,424.04

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Solution

The fourth proportional to 34,524.41, 47,627.60 and 22,424.04 is: 30,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524.41 : 47,627.60 = 22,424.04 : x
  2. Step 2: Convert to fraction form
    34,524.41/47,627.60 = 22,424.04/x
  3. Step 3: Cross multiply
    34,524.41x = 47,627.60 × 22,424.04
  4. Step 4: Simplify right side
    34,524.41x = 1,068,003,095.38
  5. Step 5: Solve for x
    x = 1,068,003,095.38/34,524.41
  6. Step 6: Final answer
    x = 30,934.72

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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.