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Finding the Fourth Proportional to 31,261.70, 43,141.05 and 17,114.45

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Solution

The fourth proportional to 31,261.70, 43,141.05 and 17,114.45 is: 23,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,261.70 : 43,141.05 = 17,114.45 : x
  2. Step 2: Convert to fraction form
    31,261.70/43,141.05 = 17,114.45/x
  3. Step 3: Cross multiply
    31,261.70x = 43,141.05 × 17,114.45
  4. Step 4: Simplify right side
    31,261.70x = 738,335,127.47
  5. Step 5: Solve for x
    x = 738,335,127.47/31,261.70
  6. Step 6: Final answer
    x = 23,617.89

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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.