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Finding the Fourth Proportional to 39,894.31, 59,828.29 and 13,234.17

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Solution

The fourth proportional to 39,894.31, 59,828.29 and 13,234.17 is: 19,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,894.31 : 59,828.29 = 13,234.17 : x
  2. Step 2: Convert to fraction form
    39,894.31/59,828.29 = 13,234.17/x
  3. Step 3: Cross multiply
    39,894.31x = 59,828.29 × 13,234.17
  4. Step 4: Simplify right side
    39,894.31x = 791,777,760.67
  5. Step 5: Solve for x
    x = 791,777,760.67/39,894.31
  6. Step 6: Final answer
    x = 19,846.88

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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.