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Finding the Fourth Proportional to 34,152.84, 51,139.49 and 27,453.78

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Solution

The fourth proportional to 34,152.84, 51,139.49 and 27,453.78 is: 41,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152.84 : 51,139.49 = 27,453.78 : x
  2. Step 2: Convert to fraction form
    34,152.84/51,139.49 = 27,453.78/x
  3. Step 3: Cross multiply
    34,152.84x = 51,139.49 × 27,453.78
  4. Step 4: Simplify right side
    34,152.84x = 1,403,972,170.50
  5. Step 5: Solve for x
    x = 1,403,972,170.50/34,152.84
  6. Step 6: Final answer
    x = 41,108.50

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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.