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Finding the Fourth Proportional to 29,063.64, 43,602.72 and 8,287.12

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Solution

The fourth proportional to 29,063.64, 43,602.72 and 8,287.12 is: 12,432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,063.64 : 43,602.72 = 8,287.12 : x
  2. Step 2: Convert to fraction form
    29,063.64/43,602.72 = 8,287.12/x
  3. Step 3: Cross multiply
    29,063.64x = 43,602.72 × 8,287.12
  4. Step 4: Simplify right side
    29,063.64x = 361,340,972.97
  5. Step 5: Solve for x
    x = 361,340,972.97/29,063.64
  6. Step 6: Final answer
    x = 12,432.75

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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.