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Finding the Fourth Proportional to 54,844.59, 82,266.88 and 13,291.59

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Solution

The fourth proportional to 54,844.59, 82,266.88 and 13,291.59 is: 19,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,844.59 : 82,266.88 = 13,291.59 : x
  2. Step 2: Convert to fraction form
    54,844.59/82,266.88 = 13,291.59/x
  3. Step 3: Cross multiply
    54,844.59x = 82,266.88 × 13,291.59
  4. Step 4: Simplify right side
    54,844.59x = 1,093,457,314.42
  5. Step 5: Solve for x
    x = 1,093,457,314.42/54,844.59
  6. Step 6: Final answer
    x = 19,937.38

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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.