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Finding the Fourth Proportional to 97,494, 146,241.76 and 23,622

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Solution

The fourth proportional to 97,494, 146,241.76 and 23,622 is: 35,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,494 : 146,241.76 = 23,622 : x
  2. Step 2: Convert to fraction form
    97,494/146,241.76 = 23,622/x
  3. Step 3: Cross multiply
    97,494x = 146,241.76 × 23,622
  4. Step 4: Simplify right side
    97,494x = 3,454,522,854.72
  5. Step 5: Solve for x
    x = 3,454,522,854.72/97,494
  6. Step 6: Final answer
    x = 35,433.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.