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Finding the Fourth Proportional to 31,281.82, 46,930.03 and 10,222.83

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Solution

The fourth proportional to 31,281.82, 46,930.03 and 10,222.83 is: 15,336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,281.82 : 46,930.03 = 10,222.83 : x
  2. Step 2: Convert to fraction form
    31,281.82/46,930.03 = 10,222.83/x
  3. Step 3: Cross multiply
    31,281.82x = 46,930.03 × 10,222.83
  4. Step 4: Simplify right side
    31,281.82x = 479,757,693.03
  5. Step 5: Solve for x
    x = 479,757,693.03/31,281.82
  6. Step 6: Final answer
    x = 15,336.63

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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.