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Finding the Fourth Proportional to 37,582.38, 51,827.90 and 22,472.60

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Solution

The fourth proportional to 37,582.38, 51,827.90 and 22,472.60 is: 30,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,582.38 : 51,827.90 = 22,472.60 : x
  2. Step 2: Convert to fraction form
    37,582.38/51,827.90 = 22,472.60/x
  3. Step 3: Cross multiply
    37,582.38x = 51,827.90 × 22,472.60
  4. Step 4: Simplify right side
    37,582.38x = 1,164,707,294.04
  5. Step 5: Solve for x
    x = 1,164,707,294.04/37,582.38
  6. Step 6: Final answer
    x = 30,990.78

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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.