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Finding the Fourth Proportional to 29,158.86, 43,738.32 and 8,382.36

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Solution

The fourth proportional to 29,158.86, 43,738.32 and 8,382.36 is: 12,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,158.86 : 43,738.32 = 8,382.36 : x
  2. Step 2: Convert to fraction form
    29,158.86/43,738.32 = 8,382.36/x
  3. Step 3: Cross multiply
    29,158.86x = 43,738.32 × 8,382.36
  4. Step 4: Simplify right side
    29,158.86x = 366,630,344.04
  5. Step 5: Solve for x
    x = 366,630,344.04/29,158.86
  6. Step 6: Final answer
    x = 12,573.55

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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.