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Finding the Fourth Proportional to 29,170.84, 43,764.66 and 9,448.96

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Solution

The fourth proportional to 29,170.84, 43,764.66 and 9,448.96 is: 14,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,170.84 : 43,764.66 = 9,448.96 : x
  2. Step 2: Convert to fraction form
    29,170.84/43,764.66 = 9,448.96/x
  3. Step 3: Cross multiply
    29,170.84x = 43,764.66 × 9,448.96
  4. Step 4: Simplify right side
    29,170.84x = 413,530,521.75
  5. Step 5: Solve for x
    x = 413,530,521.75/29,170.84
  6. Step 6: Final answer
    x = 14,176.16

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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.