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Finding the Fourth Proportional to 31,220.35, 46,825.79 and 11,494.21

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Solution

The fourth proportional to 31,220.35, 46,825.79 and 11,494.21 is: 17,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,220.35 : 46,825.79 = 11,494.21 : x
  2. Step 2: Convert to fraction form
    31,220.35/46,825.79 = 11,494.21/x
  3. Step 3: Cross multiply
    31,220.35x = 46,825.79 × 11,494.21
  4. Step 4: Simplify right side
    31,220.35x = 538,225,463.68
  5. Step 5: Solve for x
    x = 538,225,463.68/31,220.35
  6. Step 6: Final answer
    x = 17,239.57

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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.