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Finding the Fourth Proportional to 31,015.26, 42,800.94 and 16,868.34

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Solution

The fourth proportional to 31,015.26, 42,800.94 and 16,868.34 is: 23,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.26 : 42,800.94 = 16,868.34 : x
  2. Step 2: Convert to fraction form
    31,015.26/42,800.94 = 16,868.34/x
  3. Step 3: Cross multiply
    31,015.26x = 42,800.94 × 16,868.34
  4. Step 4: Simplify right side
    31,015.26x = 721,980,808.24
  5. Step 5: Solve for x
    x = 721,980,808.24/31,015.26
  6. Step 6: Final answer
    x = 23,278.24

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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.