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Finding the Fourth Proportional to 49,476, 74,115.02 and 29,743.68

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Solution

The fourth proportional to 49,476, 74,115.02 and 29,743.68 is: 44,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,476 : 74,115.02 = 29,743.68 : x
  2. Step 2: Convert to fraction form
    49,476/74,115.02 = 29,743.68/x
  3. Step 3: Cross multiply
    49,476x = 74,115.02 × 29,743.68
  4. Step 4: Simplify right side
    49,476x = 2,204,453,438.07
  5. Step 5: Solve for x
    x = 2,204,453,438.07/49,476
  6. Step 6: Final answer
    x = 44,556.02

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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.