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Finding the Fourth Proportional to 31,014.96, 42,800.43 and 16,867.80

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Solution

The fourth proportional to 31,014.96, 42,800.43 and 16,867.80 is: 23,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014.96 : 42,800.43 = 16,867.80 : x
  2. Step 2: Convert to fraction form
    31,014.96/42,800.43 = 16,867.80/x
  3. Step 3: Cross multiply
    31,014.96x = 42,800.43 × 16,867.80
  4. Step 4: Simplify right side
    31,014.96x = 721,949,093.15
  5. Step 5: Solve for x
    x = 721,949,093.15/31,014.96
  6. Step 6: Final answer
    x = 23,277.45

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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.