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Finding the Fourth Proportional to 38,499, 57,771.54 and 16,611

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Solution

The fourth proportional to 38,499, 57,771.54 and 16,611 is: 24,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,499 : 57,771.54 = 16,611 : x
  2. Step 2: Convert to fraction form
    38,499/57,771.54 = 16,611/x
  3. Step 3: Cross multiply
    38,499x = 57,771.54 × 16,611
  4. Step 4: Simplify right side
    38,499x = 959,643,050.94
  5. Step 5: Solve for x
    x = 959,643,050.94/38,499
  6. Step 6: Final answer
    x = 24,926.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.