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Finding the Fourth Proportional to 65,986, 91,061.04 and 39,142

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Solution

The fourth proportional to 65,986, 91,061.04 and 39,142 is: 54,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,986 : 91,061.04 = 39,142 : x
  2. Step 2: Convert to fraction form
    65,986/91,061.04 = 39,142/x
  3. Step 3: Cross multiply
    65,986x = 91,061.04 × 39,142
  4. Step 4: Simplify right side
    65,986x = 3,564,311,227.68
  5. Step 5: Solve for x
    x = 3,564,311,227.68/65,986
  6. Step 6: Final answer
    x = 54,016.17

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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.