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Finding the Fourth Proportional to 31,015.30, 42,800.25 and 16,868.74

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Solution

The fourth proportional to 31,015.30, 42,800.25 and 16,868.74 is: 23,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.30 : 42,800.25 = 16,868.74 : x
  2. Step 2: Convert to fraction form
    31,015.30/42,800.25 = 16,868.74/x
  3. Step 3: Cross multiply
    31,015.30x = 42,800.25 × 16,868.74
  4. Step 4: Simplify right side
    31,015.30x = 721,986,289.19
  5. Step 5: Solve for x
    x = 721,986,289.19/31,015.30
  6. Step 6: Final answer
    x = 23,278.39

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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.