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Finding the Fourth Proportional to 31,064.25, 46,597.46 and 10,287.21

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Solution

The fourth proportional to 31,064.25, 46,597.46 and 10,287.21 is: 15,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.25 : 46,597.46 = 10,287.21 : x
  2. Step 2: Convert to fraction form
    31,064.25/46,597.46 = 10,287.21/x
  3. Step 3: Cross multiply
    31,064.25x = 46,597.46 × 10,287.21
  4. Step 4: Simplify right side
    31,064.25x = 479,357,805.05
  5. Step 5: Solve for x
    x = 479,357,805.05/31,064.25
  6. Step 6: Final answer
    x = 15,431.17

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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.