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Finding the Fourth Proportional to 54,306, 81,385.02 and 27,955.08

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Solution

The fourth proportional to 54,306, 81,385.02 and 27,955.08 is: 41,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,306 : 81,385.02 = 27,955.08 : x
  2. Step 2: Convert to fraction form
    54,306/81,385.02 = 27,955.08/x
  3. Step 3: Cross multiply
    54,306x = 81,385.02 × 27,955.08
  4. Step 4: Simplify right side
    54,306x = 2,275,124,744.90
  5. Step 5: Solve for x
    x = 2,275,124,744.90/54,306
  6. Step 6: Final answer
    x = 41,894.54

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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.