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Finding the Fourth Proportional to 54,371.86, 75,017.75 and 31,711.84

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Solution

The fourth proportional to 54,371.86, 75,017.75 and 31,711.84 is: 43,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,371.86 : 75,017.75 = 31,711.84 : x
  2. Step 2: Convert to fraction form
    54,371.86/75,017.75 = 31,711.84/x
  3. Step 3: Cross multiply
    54,371.86x = 75,017.75 × 31,711.84
  4. Step 4: Simplify right side
    54,371.86x = 2,378,950,539.06
  5. Step 5: Solve for x
    x = 2,378,950,539.06/54,371.86
  6. Step 6: Final answer
    x = 43,753.34

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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.