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Finding the Fourth Proportional to 31,203.44, 46,805.17 and 10,426.94

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Solution

The fourth proportional to 31,203.44, 46,805.17 and 10,426.94 is: 15,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.44 : 46,805.17 = 10,426.94 : x
  2. Step 2: Convert to fraction form
    31,203.44/46,805.17 = 10,426.94/x
  3. Step 3: Cross multiply
    31,203.44x = 46,805.17 × 10,426.94
  4. Step 4: Simplify right side
    31,203.44x = 488,034,699.28
  5. Step 5: Solve for x
    x = 488,034,699.28/31,203.44
  6. Step 6: Final answer
    x = 15,640.41

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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.