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Finding the Fourth Proportional to 31,220.26, 46,835.04 and 11,497.30

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Solution

The fourth proportional to 31,220.26, 46,835.04 and 11,497.30 is: 17,247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,220.26 : 46,835.04 = 11,497.30 : x
  2. Step 2: Convert to fraction form
    31,220.26/46,835.04 = 11,497.30/x
  3. Step 3: Cross multiply
    31,220.26x = 46,835.04 × 11,497.30
  4. Step 4: Simplify right side
    31,220.26x = 538,476,505.39
  5. Step 5: Solve for x
    x = 538,476,505.39/31,220.26
  6. Step 6: Final answer
    x = 17,247.66

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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.