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Finding the Fourth Proportional to 54,693, 75,476.37 and 29,542.50

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Solution

The fourth proportional to 54,693, 75,476.37 and 29,542.50 is: 40,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,693 : 75,476.37 = 29,542.50 : x
  2. Step 2: Convert to fraction form
    54,693/75,476.37 = 29,542.50/x
  3. Step 3: Cross multiply
    54,693x = 75,476.37 × 29,542.50
  4. Step 4: Simplify right side
    54,693x = 2,229,760,660.73
  5. Step 5: Solve for x
    x = 2,229,760,660.73/54,693
  6. Step 6: Final answer
    x = 40,768.67

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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.