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Finding the Fourth Proportional to 34,035.78, 51,061.68 and 33,471

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Solution

The fourth proportional to 34,035.78, 51,061.68 and 33,471 is: 50,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,035.78 : 51,061.68 = 33,471 : x
  2. Step 2: Convert to fraction form
    34,035.78/51,061.68 = 33,471/x
  3. Step 3: Cross multiply
    34,035.78x = 51,061.68 × 33,471
  4. Step 4: Simplify right side
    34,035.78x = 1,709,085,491.28
  5. Step 5: Solve for x
    x = 1,709,085,491.28/34,035.78
  6. Step 6: Final answer
    x = 50,214.38

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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.