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Finding the Fourth Proportional to 39,742.78, 54,846.05 and 21,838.24

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Solution

The fourth proportional to 39,742.78, 54,846.05 and 21,838.24 is: 30,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,742.78 : 54,846.05 = 21,838.24 : x
  2. Step 2: Convert to fraction form
    39,742.78/54,846.05 = 21,838.24/x
  3. Step 3: Cross multiply
    39,742.78x = 54,846.05 × 21,838.24
  4. Step 4: Simplify right side
    39,742.78x = 1,197,740,819.53
  5. Step 5: Solve for x
    x = 1,197,740,819.53/39,742.78
  6. Step 6: Final answer
    x = 30,137.32

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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.