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Finding the Fourth Proportional to 29,147, 43,727.90 and 8,370.52

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Solution

The fourth proportional to 29,147, 43,727.90 and 8,370.52 is: 12,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,147 : 43,727.90 = 8,370.52 : x
  2. Step 2: Convert to fraction form
    29,147/43,727.90 = 8,370.52/x
  3. Step 3: Cross multiply
    29,147x = 43,727.90 × 8,370.52
  4. Step 4: Simplify right side
    29,147x = 366,025,261.51
  5. Step 5: Solve for x
    x = 366,025,261.51/29,147
  6. Step 6: Final answer
    x = 12,557.91

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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.