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Finding the Fourth Proportional to 54,129.84, 74,694.03 and 30,255.96

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Solution

The fourth proportional to 54,129.84, 74,694.03 and 30,255.96 is: 41,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,129.84 : 74,694.03 = 30,255.96 : x
  2. Step 2: Convert to fraction form
    54,129.84/74,694.03 = 30,255.96/x
  3. Step 3: Cross multiply
    54,129.84x = 74,694.03 × 30,255.96
  4. Step 4: Simplify right side
    54,129.84x = 2,259,939,583.92
  5. Step 5: Solve for x
    x = 2,259,939,583.92/54,129.84
  6. Step 6: Final answer
    x = 41,750.35

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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.