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Finding the Fourth Proportional to 23,234.87, 34,832.72 and 10,077.33

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Solution

The fourth proportional to 23,234.87, 34,832.72 and 10,077.33 is: 15,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.87 : 34,832.72 = 10,077.33 : x
  2. Step 2: Convert to fraction form
    23,234.87/34,832.72 = 10,077.33/x
  3. Step 3: Cross multiply
    23,234.87x = 34,832.72 × 10,077.33
  4. Step 4: Simplify right side
    23,234.87x = 351,020,894.47
  5. Step 5: Solve for x
    x = 351,020,894.47/23,234.87
  6. Step 6: Final answer
    x = 15,107.50

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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.