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Finding the Fourth Proportional to 31,051.66, 42,850.20 and 16,904.20

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Solution

The fourth proportional to 31,051.66, 42,850.20 and 16,904.20 is: 23,327.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,051.66 : 42,850.20 = 16,904.20 : x
  2. Step 2: Convert to fraction form
    31,051.66/42,850.20 = 16,904.20/x
  3. Step 3: Cross multiply
    31,051.66x = 42,850.20 × 16,904.20
  4. Step 4: Simplify right side
    31,051.66x = 724,348,350.84
  5. Step 5: Solve for x
    x = 724,348,350.84/31,051.66
  6. Step 6: Final answer
    x = 23,327.20

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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.