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Finding the Fourth Proportional to 28,833.68, 43,257.72 and 8,057

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Solution

The fourth proportional to 28,833.68, 43,257.72 and 8,057 is: 12,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,833.68 : 43,257.72 = 8,057 : x
  2. Step 2: Convert to fraction form
    28,833.68/43,257.72 = 8,057/x
  3. Step 3: Cross multiply
    28,833.68x = 43,257.72 × 8,057
  4. Step 4: Simplify right side
    28,833.68x = 348,527,450.04
  5. Step 5: Solve for x
    x = 348,527,450.04/28,833.68
  6. Step 6: Final answer
    x = 12,087.51

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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.