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Finding the Fourth Proportional to 31,102.44, 46,662.78 and 10,042.02

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Solution

The fourth proportional to 31,102.44, 46,662.78 and 10,042.02 is: 15,065.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.44 : 46,662.78 = 10,042.02 : x
  2. Step 2: Convert to fraction form
    31,102.44/46,662.78 = 10,042.02/x
  3. Step 3: Cross multiply
    31,102.44x = 46,662.78 × 10,042.02
  4. Step 4: Simplify right side
    31,102.44x = 468,588,570.02
  5. Step 5: Solve for x
    x = 468,588,570.02/31,102.44
  6. Step 6: Final answer
    x = 15,065.97

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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.