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Finding the Fourth Proportional to 54,497.54, 81,747.84 and 15,054.66

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Solution

The fourth proportional to 54,497.54, 81,747.84 and 15,054.66 is: 22,582.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,497.54 : 81,747.84 = 15,054.66 : x
  2. Step 2: Convert to fraction form
    54,497.54/81,747.84 = 15,054.66/x
  3. Step 3: Cross multiply
    54,497.54x = 81,747.84 × 15,054.66
  4. Step 4: Simplify right side
    54,497.54x = 1,230,685,936.93
  5. Step 5: Solve for x
    x = 1,230,685,936.93/54,497.54
  6. Step 6: Final answer
    x = 22,582.41

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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.