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Finding the Fourth Proportional to 31,159.49, 42,999.90 and 17,012.33

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Solution

The fourth proportional to 31,159.49, 42,999.90 and 17,012.33 is: 23,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.49 : 42,999.90 = 17,012.33 : x
  2. Step 2: Convert to fraction form
    31,159.49/42,999.90 = 17,012.33/x
  3. Step 3: Cross multiply
    31,159.49x = 42,999.90 × 17,012.33
  4. Step 4: Simplify right side
    31,159.49x = 731,528,371.22
  5. Step 5: Solve for x
    x = 731,528,371.22/31,159.49
  6. Step 6: Final answer
    x = 23,476.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.