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Finding the Fourth Proportional to 38,220.84, 52,745.24 and 21,226.14

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Solution

The fourth proportional to 38,220.84, 52,745.24 and 21,226.14 is: 29,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220.84 : 52,745.24 = 21,226.14 : x
  2. Step 2: Convert to fraction form
    38,220.84/52,745.24 = 21,226.14/x
  3. Step 3: Cross multiply
    38,220.84x = 52,745.24 × 21,226.14
  4. Step 4: Simplify right side
    38,220.84x = 1,119,577,742.44
  5. Step 5: Solve for x
    x = 1,119,577,742.44/38,220.84
  6. Step 6: Final answer
    x = 29,292.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.