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Finding the Fourth Proportional to 54,865.71, 75,713.77 and 30,667.24

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Solution

The fourth proportional to 54,865.71, 75,713.77 and 30,667.24 is: 42,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,865.71 : 75,713.77 = 30,667.24 : x
  2. Step 2: Convert to fraction form
    54,865.71/75,713.77 = 30,667.24/x
  3. Step 3: Cross multiply
    54,865.71x = 75,713.77 × 30,667.24
  4. Step 4: Simplify right side
    54,865.71x = 2,321,932,355.89
  5. Step 5: Solve for x
    x = 2,321,932,355.89/54,865.71
  6. Step 6: Final answer
    x = 42,320.28

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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.