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Finding the Fourth Proportional to 54,980.92, 75,872.70 and 33,462.88

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Solution

The fourth proportional to 54,980.92, 75,872.70 and 33,462.88 is: 46,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,980.92 : 75,872.70 = 33,462.88 : x
  2. Step 2: Convert to fraction form
    54,980.92/75,872.70 = 33,462.88/x
  3. Step 3: Cross multiply
    54,980.92x = 75,872.70 × 33,462.88
  4. Step 4: Simplify right side
    54,980.92x = 2,538,919,055.38
  5. Step 5: Solve for x
    x = 2,538,919,055.38/54,980.92
  6. Step 6: Final answer
    x = 46,178.18

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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.