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Finding the Fourth Proportional to 34,652.68, 51,978.56 and 8,357.22

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Solution

The fourth proportional to 34,652.68, 51,978.56 and 8,357.22 is: 12,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,652.68 : 51,978.56 = 8,357.22 : x
  2. Step 2: Convert to fraction form
    34,652.68/51,978.56 = 8,357.22/x
  3. Step 3: Cross multiply
    34,652.68x = 51,978.56 × 8,357.22
  4. Step 4: Simplify right side
    34,652.68x = 434,396,261.20
  5. Step 5: Solve for x
    x = 434,396,261.20/34,652.68
  6. Step 6: Final answer
    x = 12,535.72

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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.