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Finding the Fourth Proportional to 54,549.95, 75,279.38 and 30,676.41

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Solution

The fourth proportional to 54,549.95, 75,279.38 and 30,676.41 is: 42,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,549.95 : 75,279.38 = 30,676.41 : x
  2. Step 2: Convert to fraction form
    54,549.95/75,279.38 = 30,676.41/x
  3. Step 3: Cross multiply
    54,549.95x = 75,279.38 × 30,676.41
  4. Step 4: Simplify right side
    54,549.95x = 2,309,300,972.04
  5. Step 5: Solve for x
    x = 2,309,300,972.04/54,549.95
  6. Step 6: Final answer
    x = 42,333.70

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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.