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Finding the Fourth Proportional to 38,519.88, 53,156.74 and 21,524.44

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Solution

The fourth proportional to 38,519.88, 53,156.74 and 21,524.44 is: 29,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,519.88 : 53,156.74 = 21,524.44 : x
  2. Step 2: Convert to fraction form
    38,519.88/53,156.74 = 21,524.44/x
  3. Step 3: Cross multiply
    38,519.88x = 53,156.74 × 21,524.44
  4. Step 4: Simplify right side
    38,519.88x = 1,144,169,060.73
  5. Step 5: Solve for x
    x = 1,144,169,060.73/38,519.88
  6. Step 6: Final answer
    x = 29,703.34

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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.