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Finding the Fourth Proportional to 43,552.98, 65,276.10 and 31,005

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Solution

The fourth proportional to 43,552.98, 65,276.10 and 31,005 is: 46,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,552.98 : 65,276.10 = 31,005 : x
  2. Step 2: Convert to fraction form
    43,552.98/65,276.10 = 31,005/x
  3. Step 3: Cross multiply
    43,552.98x = 65,276.10 × 31,005
  4. Step 4: Simplify right side
    43,552.98x = 2,023,885,480.50
  5. Step 5: Solve for x
    x = 2,023,885,480.50/43,552.98
  6. Step 6: Final answer
    x = 46,469.51

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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.