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Finding the Fourth Proportional to 54,834.20, 76,923.40 and 54,834.20

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Solution

The fourth proportional to 54,834.20, 76,923.40 and 54,834.20 is: 76,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,834.20 : 76,923.40 = 54,834.20 : x
  2. Step 2: Convert to fraction form
    54,834.20/76,923.40 = 54,834.20/x
  3. Step 3: Cross multiply
    54,834.20x = 76,923.40 × 54,834.20
  4. Step 4: Simplify right side
    54,834.20x = 4,218,033,100.28
  5. Step 5: Solve for x
    x = 4,218,033,100.28/54,834.20
  6. Step 6: Final answer
    x = 76,923.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.