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Finding the Fourth Proportional to 54,295.80, 81,419.40 and 24,698.40

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Solution

The fourth proportional to 54,295.80, 81,419.40 and 24,698.40 is: 37,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,295.80 : 81,419.40 = 24,698.40 : x
  2. Step 2: Convert to fraction form
    54,295.80/81,419.40 = 24,698.40/x
  3. Step 3: Cross multiply
    54,295.80x = 81,419.40 × 24,698.40
  4. Step 4: Simplify right side
    54,295.80x = 2,010,928,908.96
  5. Step 5: Solve for x
    x = 2,010,928,908.96/54,295.80
  6. Step 6: Final answer
    x = 37,036.55

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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.