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Finding the Fourth Proportional to 23,034.14, 34,552.19 and 8,042.77

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Solution

The fourth proportional to 23,034.14, 34,552.19 and 8,042.77 is: 12,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,034.14 : 34,552.19 = 8,042.77 : x
  2. Step 2: Convert to fraction form
    23,034.14/34,552.19 = 8,042.77/x
  3. Step 3: Cross multiply
    23,034.14x = 34,552.19 × 8,042.77
  4. Step 4: Simplify right side
    23,034.14x = 277,895,317.17
  5. Step 5: Solve for x
    x = 277,895,317.17/23,034.14
  6. Step 6: Final answer
    x = 12,064.50

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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.