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Finding the Fourth Proportional to 54,591.54, 75,344.49 and 51,214.38

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Solution

The fourth proportional to 54,591.54, 75,344.49 and 51,214.38 is: 70,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,591.54 : 75,344.49 = 51,214.38 : x
  2. Step 2: Convert to fraction form
    54,591.54/75,344.49 = 51,214.38/x
  3. Step 3: Cross multiply
    54,591.54x = 75,344.49 × 51,214.38
  4. Step 4: Simplify right side
    54,591.54x = 3,858,721,341.77
  5. Step 5: Solve for x
    x = 3,858,721,341.77/54,591.54
  6. Step 6: Final answer
    x = 70,683.50

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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.