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Finding the Fourth Proportional to 38,325, 52,893.36 and 21,561.24

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Solution

The fourth proportional to 38,325, 52,893.36 and 21,561.24 is: 29,757.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,325 : 52,893.36 = 21,561.24 : x
  2. Step 2: Convert to fraction form
    38,325/52,893.36 = 21,561.24/x
  3. Step 3: Cross multiply
    38,325x = 52,893.36 × 21,561.24
  4. Step 4: Simplify right side
    38,325x = 1,140,446,429.37
  5. Step 5: Solve for x
    x = 1,140,446,429.37/38,325
  6. Step 6: Final answer
    x = 29,757.25

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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.