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Finding the Fourth Proportional to 54,844.88, 82,267.76 and 13,291.88

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Solution

The fourth proportional to 54,844.88, 82,267.76 and 13,291.88 is: 19,937.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,844.88 : 82,267.76 = 13,291.88 : x
  2. Step 2: Convert to fraction form
    54,844.88/82,267.76 = 13,291.88/x
  3. Step 3: Cross multiply
    54,844.88x = 82,267.76 × 13,291.88
  4. Step 4: Simplify right side
    54,844.88x = 1,093,492,815.68
  5. Step 5: Solve for x
    x = 1,093,492,815.68/54,844.88
  6. Step 6: Final answer
    x = 19,937.92

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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.