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Finding the Fourth Proportional to 31,995, 44,153.10 and 17,847.84

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Solution

The fourth proportional to 31,995, 44,153.10 and 17,847.84 is: 24,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995 : 44,153.10 = 17,847.84 : x
  2. Step 2: Convert to fraction form
    31,995/44,153.10 = 17,847.84/x
  3. Step 3: Cross multiply
    31,995x = 44,153.10 × 17,847.84
  4. Step 4: Simplify right side
    31,995x = 788,037,629.88
  5. Step 5: Solve for x
    x = 788,037,629.88/31,995
  6. Step 6: Final answer
    x = 24,630.02

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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.