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Finding the Fourth Proportional to 31,287.33, 46,901.84 and 10,496.25

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Solution

The fourth proportional to 31,287.33, 46,901.84 and 10,496.25 is: 15,734.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.33 : 46,901.84 = 10,496.25 : x
  2. Step 2: Convert to fraction form
    31,287.33/46,901.84 = 10,496.25/x
  3. Step 3: Cross multiply
    31,287.33x = 46,901.84 × 10,496.25
  4. Step 4: Simplify right side
    31,287.33x = 492,293,385.62
  5. Step 5: Solve for x
    x = 492,293,385.62/31,287.33
  6. Step 6: Final answer
    x = 15,734.59

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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.