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Finding the Fourth Proportional to 65,022.21, 89,718.84 and 38,165.85

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Solution

The fourth proportional to 65,022.21, 89,718.84 and 38,165.85 is: 52,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.21 : 89,718.84 = 38,165.85 : x
  2. Step 2: Convert to fraction form
    65,022.21/89,718.84 = 38,165.85/x
  3. Step 3: Cross multiply
    65,022.21x = 89,718.84 × 38,165.85
  4. Step 4: Simplify right side
    65,022.21x = 3,424,195,789.61
  5. Step 5: Solve for x
    x = 3,424,195,789.61/65,022.21
  6. Step 6: Final answer
    x = 52,661.94

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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.