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Finding the Fourth Proportional to 29,859.92, 44,721.80 and 14,288.56

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Solution

The fourth proportional to 29,859.92, 44,721.80 and 14,288.56 is: 21,400.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,859.92 : 44,721.80 = 14,288.56 : x
  2. Step 2: Convert to fraction form
    29,859.92/44,721.80 = 14,288.56/x
  3. Step 3: Cross multiply
    29,859.92x = 44,721.80 × 14,288.56
  4. Step 4: Simplify right side
    29,859.92x = 639,010,122.61
  5. Step 5: Solve for x
    x = 639,010,122.61/29,859.92
  6. Step 6: Final answer
    x = 21,400.26

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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.