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Finding the Fourth Proportional to 31,261.52, 43,139.40 and 17,114

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Solution

The fourth proportional to 31,261.52, 43,139.40 and 17,114 is: 23,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,261.52 : 43,139.40 = 17,114 : x
  2. Step 2: Convert to fraction form
    31,261.52/43,139.40 = 17,114/x
  3. Step 3: Cross multiply
    31,261.52x = 43,139.40 × 17,114
  4. Step 4: Simplify right side
    31,261.52x = 738,287,691.60
  5. Step 5: Solve for x
    x = 738,287,691.60/31,261.52
  6. Step 6: Final answer
    x = 23,616.50

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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.