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Finding the Fourth Proportional to 31,230.72, 46,850.76 and 10,449.36

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Solution

The fourth proportional to 31,230.72, 46,850.76 and 10,449.36 is: 15,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230.72 : 46,850.76 = 10,449.36 : x
  2. Step 2: Convert to fraction form
    31,230.72/46,850.76 = 10,449.36/x
  3. Step 3: Cross multiply
    31,230.72x = 46,850.76 × 10,449.36
  4. Step 4: Simplify right side
    31,230.72x = 489,560,457.51
  5. Step 5: Solve for x
    x = 489,560,457.51/31,230.72
  6. Step 6: Final answer
    x = 15,675.61

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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.