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Finding the Fourth Proportional to 65,537.24, 90,441.18 and 35,729.24

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Solution

The fourth proportional to 65,537.24, 90,441.18 and 35,729.24 is: 49,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,537.24 : 90,441.18 = 35,729.24 : x
  2. Step 2: Convert to fraction form
    65,537.24/90,441.18 = 35,729.24/x
  3. Step 3: Cross multiply
    65,537.24x = 90,441.18 × 35,729.24
  4. Step 4: Simplify right side
    65,537.24x = 3,231,394,626.10
  5. Step 5: Solve for x
    x = 3,231,394,626.10/65,537.24
  6. Step 6: Final answer
    x = 49,306.24

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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.