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Finding the Fourth Proportional to 61,974, 85,523.85 and 35,121.62

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Solution

The fourth proportional to 61,974, 85,523.85 and 35,121.62 is: 48,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,974 : 85,523.85 = 35,121.62 : x
  2. Step 2: Convert to fraction form
    61,974/85,523.85 = 35,121.62/x
  3. Step 3: Cross multiply
    61,974x = 85,523.85 × 35,121.62
  4. Step 4: Simplify right side
    61,974x = 3,003,735,733.02
  5. Step 5: Solve for x
    x = 3,003,735,733.02/61,974
  6. Step 6: Final answer
    x = 48,467.68

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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.