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Finding the Fourth Proportional to 38,199, 57,321.54 and 16,311

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Solution

The fourth proportional to 38,199, 57,321.54 and 16,311 is: 24,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,199 : 57,321.54 = 16,311 : x
  2. Step 2: Convert to fraction form
    38,199/57,321.54 = 16,311/x
  3. Step 3: Cross multiply
    38,199x = 57,321.54 × 16,311
  4. Step 4: Simplify right side
    38,199x = 934,971,638.94
  5. Step 5: Solve for x
    x = 934,971,638.94/38,199
  6. Step 6: Final answer
    x = 24,476.34

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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.