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Finding the Fourth Proportional to 54,890, 75,759.18 and 31,016.96

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Solution

The fourth proportional to 54,890, 75,759.18 and 31,016.96 is: 42,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,890 : 75,759.18 = 31,016.96 : x
  2. Step 2: Convert to fraction form
    54,890/75,759.18 = 31,016.96/x
  3. Step 3: Cross multiply
    54,890x = 75,759.18 × 31,016.96
  4. Step 4: Simplify right side
    54,890x = 2,349,819,455.69
  5. Step 5: Solve for x
    x = 2,349,819,455.69/54,890
  6. Step 6: Final answer
    x = 42,809.61

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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.