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Finding the Fourth Proportional to 49,822.73, 74,721.33 and 14,754.18

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Solution

The fourth proportional to 49,822.73, 74,721.33 and 14,754.18 is: 22,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,822.73 : 74,721.33 = 14,754.18 : x
  2. Step 2: Convert to fraction form
    49,822.73/74,721.33 = 14,754.18/x
  3. Step 3: Cross multiply
    49,822.73x = 74,721.33 × 14,754.18
  4. Step 4: Simplify right side
    49,822.73x = 1,102,451,952.66
  5. Step 5: Solve for x
    x = 1,102,451,952.66/49,822.73
  6. Step 6: Final answer
    x = 22,127.49

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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.