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Finding the Fourth Proportional to 39,114.06, 53,967.15 and 23,202.06

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Solution

The fourth proportional to 39,114.06, 53,967.15 and 23,202.06 is: 32,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,114.06 : 53,967.15 = 23,202.06 : x
  2. Step 2: Convert to fraction form
    39,114.06/53,967.15 = 23,202.06/x
  3. Step 3: Cross multiply
    39,114.06x = 53,967.15 × 23,202.06
  4. Step 4: Simplify right side
    39,114.06x = 1,252,149,052.33
  5. Step 5: Solve for x
    x = 1,252,149,052.33/39,114.06
  6. Step 6: Final answer
    x = 32,012.76

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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.