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Finding the Fourth Proportional to 31,010.94, 46,519.50 and 9,945.72

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Solution

The fourth proportional to 31,010.94, 46,519.50 and 9,945.72 is: 14,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.94 : 46,519.50 = 9,945.72 : x
  2. Step 2: Convert to fraction form
    31,010.94/46,519.50 = 9,945.72/x
  3. Step 3: Cross multiply
    31,010.94x = 46,519.50 × 9,945.72
  4. Step 4: Simplify right side
    31,010.94x = 462,669,921.54
  5. Step 5: Solve for x
    x = 462,669,921.54/31,010.94
  6. Step 6: Final answer
    x = 14,919.57

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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.