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Finding the Fourth Proportional to 34,092.84, 51,115.49 and 15,107.15

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Solution

The fourth proportional to 34,092.84, 51,115.49 and 15,107.15 is: 22,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,092.84 : 51,115.49 = 15,107.15 : x
  2. Step 2: Convert to fraction form
    34,092.84/51,115.49 = 15,107.15/x
  3. Step 3: Cross multiply
    34,092.84x = 51,115.49 × 15,107.15
  4. Step 4: Simplify right side
    34,092.84x = 772,209,359.49
  5. Step 5: Solve for x
    x = 772,209,359.49/34,092.84
  6. Step 6: Final answer
    x = 22,650.19

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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.