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Finding the Fourth Proportional to 54,265.40, 81,422.40 and 19,230.20

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Solution

The fourth proportional to 54,265.40, 81,422.40 and 19,230.20 is: 28,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,265.40 : 81,422.40 = 19,230.20 : x
  2. Step 2: Convert to fraction form
    54,265.40/81,422.40 = 19,230.20/x
  3. Step 3: Cross multiply
    54,265.40x = 81,422.40 × 19,230.20
  4. Step 4: Simplify right side
    54,265.40x = 1,565,769,036.48
  5. Step 5: Solve for x
    x = 1,565,769,036.48/54,265.40
  6. Step 6: Final answer
    x = 28,853.91

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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.