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Finding the Fourth Proportional to 31,481.98, 47,210.67 and 12,757.18

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Solution

The fourth proportional to 31,481.98, 47,210.67 and 12,757.18 is: 19,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.98 : 47,210.67 = 12,757.18 : x
  2. Step 2: Convert to fraction form
    31,481.98/47,210.67 = 12,757.18/x
  3. Step 3: Cross multiply
    31,481.98x = 47,210.67 × 12,757.18
  4. Step 4: Simplify right side
    31,481.98x = 602,275,015.11
  5. Step 5: Solve for x
    x = 602,275,015.11/31,481.98
  6. Step 6: Final answer
    x = 19,130.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.