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Finding the Fourth Proportional to 54,894.70, 75,754.70 and 29,744.20

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Solution

The fourth proportional to 54,894.70, 75,754.70 and 29,744.20 is: 41,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,894.70 : 75,754.70 = 29,744.20 : x
  2. Step 2: Convert to fraction form
    54,894.70/75,754.70 = 29,744.20/x
  3. Step 3: Cross multiply
    54,894.70x = 75,754.70 × 29,744.20
  4. Step 4: Simplify right side
    54,894.70x = 2,253,262,947.74
  5. Step 5: Solve for x
    x = 2,253,262,947.74/54,894.70
  6. Step 6: Final answer
    x = 41,047.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.