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Finding the Fourth Proportional to 49,423.38, 74,123.92 and 22,743.75

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Solution

The fourth proportional to 49,423.38, 74,123.92 and 22,743.75 is: 34,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,423.38 : 74,123.92 = 22,743.75 : x
  2. Step 2: Convert to fraction form
    49,423.38/74,123.92 = 22,743.75/x
  3. Step 3: Cross multiply
    49,423.38x = 74,123.92 × 22,743.75
  4. Step 4: Simplify right side
    49,423.38x = 1,685,855,905.50
  5. Step 5: Solve for x
    x = 1,685,855,905.50/49,423.38
  6. Step 6: Final answer
    x = 34,110.49

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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.