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Finding the Fourth Proportional to 65,343.84, 90,174.40 and 39,850.16

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Solution

The fourth proportional to 65,343.84, 90,174.40 and 39,850.16 is: 54,993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,343.84 : 90,174.40 = 39,850.16 : x
  2. Step 2: Convert to fraction form
    65,343.84/90,174.40 = 39,850.16/x
  3. Step 3: Cross multiply
    65,343.84x = 90,174.40 × 39,850.16
  4. Step 4: Simplify right side
    65,343.84x = 3,593,464,267.90
  5. Step 5: Solve for x
    x = 3,593,464,267.90/65,343.84
  6. Step 6: Final answer
    x = 54,993.16

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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.