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Finding the Fourth Proportional to 31,042.67, 46,563.93 and 11,313.16

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Solution

The fourth proportional to 31,042.67, 46,563.93 and 11,313.16 is: 16,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.67 : 46,563.93 = 11,313.16 : x
  2. Step 2: Convert to fraction form
    31,042.67/46,563.93 = 11,313.16/x
  3. Step 3: Cross multiply
    31,042.67x = 46,563.93 × 11,313.16
  4. Step 4: Simplify right side
    31,042.67x = 526,785,073.91
  5. Step 5: Solve for x
    x = 526,785,073.91/31,042.67
  6. Step 6: Final answer
    x = 16,969.71

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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.