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Finding the Fourth Proportional to 130,287.34, 195,431.28 and 31,791.34

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Solution

The fourth proportional to 130,287.34, 195,431.28 and 31,791.34 is: 47,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,287.34 : 195,431.28 = 31,791.34 : x
  2. Step 2: Convert to fraction form
    130,287.34/195,431.28 = 31,791.34/x
  3. Step 3: Cross multiply
    130,287.34x = 195,431.28 × 31,791.34
  4. Step 4: Simplify right side
    130,287.34x = 6,213,022,269.12
  5. Step 5: Solve for x
    x = 6,213,022,269.12/130,287.34
  6. Step 6: Final answer
    x = 47,687.08

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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.