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Finding the Fourth Proportional to 29,074.68, 43,607.34 and 8,293.32

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Solution

The fourth proportional to 29,074.68, 43,607.34 and 8,293.32 is: 12,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,074.68 : 43,607.34 = 8,293.32 : x
  2. Step 2: Convert to fraction form
    29,074.68/43,607.34 = 8,293.32/x
  3. Step 3: Cross multiply
    29,074.68x = 43,607.34 × 8,293.32
  4. Step 4: Simplify right side
    29,074.68x = 361,649,624.97
  5. Step 5: Solve for x
    x = 361,649,624.97/29,074.68
  6. Step 6: Final answer
    x = 12,438.65

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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.