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Finding the Fourth Proportional to 49,477, 74,116.52 and 29,744.68

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Solution

The fourth proportional to 49,477, 74,116.52 and 29,744.68 is: 44,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,477 : 74,116.52 = 29,744.68 : x
  2. Step 2: Convert to fraction form
    49,477/74,116.52 = 29,744.68/x
  3. Step 3: Cross multiply
    49,477x = 74,116.52 × 29,744.68
  4. Step 4: Simplify right side
    49,477x = 2,204,572,170.11
  5. Step 5: Solve for x
    x = 2,204,572,170.11/49,477
  6. Step 6: Final answer
    x = 44,557.52

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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.