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Finding the Fourth Proportional to 54,377.80, 75,047.96 and 30,499.96

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Solution

The fourth proportional to 54,377.80, 75,047.96 and 30,499.96 is: 42,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,377.80 : 75,047.96 = 30,499.96 : x
  2. Step 2: Convert to fraction form
    54,377.80/75,047.96 = 30,499.96/x
  3. Step 3: Cross multiply
    54,377.80x = 75,047.96 × 30,499.96
  4. Step 4: Simplify right side
    54,377.80x = 2,288,959,778.08
  5. Step 5: Solve for x
    x = 2,288,959,778.08/54,377.80
  6. Step 6: Final answer
    x = 42,093.64

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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.