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Finding the Fourth Proportional to 38,238.89, 52,778.12 and 21,249

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Solution

The fourth proportional to 38,238.89, 52,778.12 and 21,249 is: 29,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,238.89 : 52,778.12 = 21,249 : x
  2. Step 2: Convert to fraction form
    38,238.89/52,778.12 = 21,249/x
  3. Step 3: Cross multiply
    38,238.89x = 52,778.12 × 21,249
  4. Step 4: Simplify right side
    38,238.89x = 1,121,482,165.64
  5. Step 5: Solve for x
    x = 1,121,482,165.64/38,238.89
  6. Step 6: Final answer
    x = 29,328.32

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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.