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Finding the Fourth Proportional to 39,802.32, 54,889.92 and 24,697.44

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Solution

The fourth proportional to 39,802.32, 54,889.92 and 24,697.44 is: 34,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,802.32 : 54,889.92 = 24,697.44 : x
  2. Step 2: Convert to fraction form
    39,802.32/54,889.92 = 24,697.44/x
  3. Step 3: Cross multiply
    39,802.32x = 54,889.92 × 24,697.44
  4. Step 4: Simplify right side
    39,802.32x = 1,355,640,505.80
  5. Step 5: Solve for x
    x = 1,355,640,505.80/39,802.32
  6. Step 6: Final answer
    x = 34,059.33

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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.