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Finding the Fourth Proportional to 34,150.38, 47,127.72 and 19,044

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Solution

The fourth proportional to 34,150.38, 47,127.72 and 19,044 is: 26,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,150.38 : 47,127.72 = 19,044 : x
  2. Step 2: Convert to fraction form
    34,150.38/47,127.72 = 19,044/x
  3. Step 3: Cross multiply
    34,150.38x = 47,127.72 × 19,044
  4. Step 4: Simplify right side
    34,150.38x = 897,500,299.68
  5. Step 5: Solve for x
    x = 897,500,299.68/34,150.38
  6. Step 6: Final answer
    x = 26,280.83

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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.