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Finding the Fourth Proportional to 31,132, 42,962.17 and 19,954

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Solution

The fourth proportional to 31,132, 42,962.17 and 19,954 is: 27,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,132 : 42,962.17 = 19,954 : x
  2. Step 2: Convert to fraction form
    31,132/42,962.17 = 19,954/x
  3. Step 3: Cross multiply
    31,132x = 42,962.17 × 19,954
  4. Step 4: Simplify right side
    31,132x = 857,267,140.18
  5. Step 5: Solve for x
    x = 857,267,140.18/31,132
  6. Step 6: Final answer
    x = 27,536.53

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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.