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Finding the Fourth Proportional to 54,415.94, 75,097.34 and 30,542.61

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Solution

The fourth proportional to 54,415.94, 75,097.34 and 30,542.61 is: 42,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,415.94 : 75,097.34 = 30,542.61 : x
  2. Step 2: Convert to fraction form
    54,415.94/75,097.34 = 30,542.61/x
  3. Step 3: Cross multiply
    54,415.94x = 75,097.34 × 30,542.61
  4. Step 4: Simplify right side
    54,415.94x = 2,293,668,614.94
  5. Step 5: Solve for x
    x = 2,293,668,614.94/54,415.94
  6. Step 6: Final answer
    x = 42,150.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.