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Finding the Fourth Proportional to 31,999, 44,158.62 and 17,851.84

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Solution

The fourth proportional to 31,999, 44,158.62 and 17,851.84 is: 24,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999 : 44,158.62 = 17,851.84 : x
  2. Step 2: Convert to fraction form
    31,999/44,158.62 = 17,851.84/x
  3. Step 3: Cross multiply
    31,999x = 44,158.62 × 17,851.84
  4. Step 4: Simplify right side
    31,999x = 788,312,618.86
  5. Step 5: Solve for x
    x = 788,312,618.86/31,999
  6. Step 6: Final answer
    x = 24,635.54

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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.