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Finding the Fourth Proportional to 54,324.54, 81,486.88 and 14,882

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Solution

The fourth proportional to 54,324.54, 81,486.88 and 14,882 is: 22,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324.54 : 81,486.88 = 14,882 : x
  2. Step 2: Convert to fraction form
    54,324.54/81,486.88 = 14,882/x
  3. Step 3: Cross multiply
    54,324.54x = 81,486.88 × 14,882
  4. Step 4: Simplify right side
    54,324.54x = 1,212,687,748.16
  5. Step 5: Solve for x
    x = 1,212,687,748.16/54,324.54
  6. Step 6: Final answer
    x = 22,323.02

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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.