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Finding the Fourth Proportional to 54,904.30, 82,356.45 and 36,205.45

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Solution

The fourth proportional to 54,904.30, 82,356.45 and 36,205.45 is: 54,308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,904.30 : 82,356.45 = 36,205.45 : x
  2. Step 2: Convert to fraction form
    54,904.30/82,356.45 = 36,205.45/x
  3. Step 3: Cross multiply
    54,904.30x = 82,356.45 × 36,205.45
  4. Step 4: Simplify right side
    54,904.30x = 2,981,752,332.65
  5. Step 5: Solve for x
    x = 2,981,752,332.65/54,904.30
  6. Step 6: Final answer
    x = 54,308.18

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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.