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Finding the Fourth Proportional to 34,232.78, 51,355.65 and 15,764.78

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Solution

The fourth proportional to 34,232.78, 51,355.65 and 15,764.78 is: 23,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,232.78 : 51,355.65 = 15,764.78 : x
  2. Step 2: Convert to fraction form
    34,232.78/51,355.65 = 15,764.78/x
  3. Step 3: Cross multiply
    34,232.78x = 51,355.65 × 15,764.78
  4. Step 4: Simplify right side
    34,232.78x = 809,610,524.01
  5. Step 5: Solve for x
    x = 809,610,524.01/34,232.78
  6. Step 6: Final answer
    x = 23,650.15

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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.