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Finding the Fourth Proportional to 54,478.72, 75,188.76 and 33,270.28

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Solution

The fourth proportional to 54,478.72, 75,188.76 and 33,270.28 is: 45,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,478.72 : 75,188.76 = 33,270.28 : x
  2. Step 2: Convert to fraction form
    54,478.72/75,188.76 = 33,270.28/x
  3. Step 3: Cross multiply
    54,478.72x = 75,188.76 × 33,270.28
  4. Step 4: Simplify right side
    54,478.72x = 2,501,551,098.05
  5. Step 5: Solve for x
    x = 2,501,551,098.05/54,478.72
  6. Step 6: Final answer
    x = 45,917.95

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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.