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Finding the Fourth Proportional to 53,553.29, 80,251.00 and 29,828.17

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Solution

The fourth proportional to 53,553.29, 80,251.00 and 29,828.17 is: 44,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,553.29 : 80,251.00 = 29,828.17 : x
  2. Step 2: Convert to fraction form
    53,553.29/80,251.00 = 29,828.17/x
  3. Step 3: Cross multiply
    53,553.29x = 80,251.00 × 29,828.17
  4. Step 4: Simplify right side
    53,553.29x = 2,393,740,195.47
  5. Step 5: Solve for x
    x = 2,393,740,195.47/53,553.29
  6. Step 6: Final answer
    x = 44,698.28

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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.