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Finding the Fourth Proportional to 38,294.24, 52,840.34 and 21,524

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Solution

The fourth proportional to 38,294.24, 52,840.34 and 21,524 is: 29,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,294.24 : 52,840.34 = 21,524 : x
  2. Step 2: Convert to fraction form
    38,294.24/52,840.34 = 21,524/x
  3. Step 3: Cross multiply
    38,294.24x = 52,840.34 × 21,524
  4. Step 4: Simplify right side
    38,294.24x = 1,137,335,478.16
  5. Step 5: Solve for x
    x = 1,137,335,478.16/38,294.24
  6. Step 6: Final answer
    x = 29,699.91

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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.