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Finding the Fourth Proportional to 39,105.32, 53,964.02 and 23,180.31

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Solution

The fourth proportional to 39,105.32, 53,964.02 and 23,180.31 is: 31,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,105.32 : 53,964.02 = 23,180.31 : x
  2. Step 2: Convert to fraction form
    39,105.32/53,964.02 = 23,180.31/x
  3. Step 3: Cross multiply
    39,105.32x = 53,964.02 × 23,180.31
  4. Step 4: Simplify right side
    39,105.32x = 1,250,902,770.40
  5. Step 5: Solve for x
    x = 1,250,902,770.40/39,105.32
  6. Step 6: Final answer
    x = 31,988.05

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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.