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Finding the Fourth Proportional to 54,587.80, 81,877.38 and 19,523.80

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Solution

The fourth proportional to 54,587.80, 81,877.38 and 19,523.80 is: 29,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,587.80 : 81,877.38 = 19,523.80 : x
  2. Step 2: Convert to fraction form
    54,587.80/81,877.38 = 19,523.80/x
  3. Step 3: Cross multiply
    54,587.80x = 81,877.38 × 19,523.80
  4. Step 4: Simplify right side
    54,587.80x = 1,598,557,591.64
  5. Step 5: Solve for x
    x = 1,598,557,591.64/54,587.80
  6. Step 6: Final answer
    x = 29,284.15

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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.