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Finding the Fourth Proportional to 31,202.33, 46,798.89 and 10,144.28

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Solution

The fourth proportional to 31,202.33, 46,798.89 and 10,144.28 is: 15,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.33 : 46,798.89 = 10,144.28 : x
  2. Step 2: Convert to fraction form
    31,202.33/46,798.89 = 10,144.28/x
  3. Step 3: Cross multiply
    31,202.33x = 46,798.89 × 10,144.28
  4. Step 4: Simplify right side
    31,202.33x = 474,740,809.85
  5. Step 5: Solve for x
    x = 474,740,809.85/31,202.33
  6. Step 6: Final answer
    x = 15,214.92

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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.