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Finding the Fourth Proportional to 65,524.17, 90,423.36 and 35,716.17

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Solution

The fourth proportional to 65,524.17, 90,423.36 and 35,716.17 is: 49,288.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524.17 : 90,423.36 = 35,716.17 : x
  2. Step 2: Convert to fraction form
    65,524.17/90,423.36 = 35,716.17/x
  3. Step 3: Cross multiply
    65,524.17x = 90,423.36 × 35,716.17
  4. Step 4: Simplify right side
    65,524.17x = 3,229,576,097.73
  5. Step 5: Solve for x
    x = 3,229,576,097.73/65,524.17
  6. Step 6: Final answer
    x = 49,288.32

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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.