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Finding the Fourth Proportional to 38,099, 57,148.50 and 16,211

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Solution

The fourth proportional to 38,099, 57,148.50 and 16,211 is: 24,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,099 : 57,148.50 = 16,211 : x
  2. Step 2: Convert to fraction form
    38,099/57,148.50 = 16,211/x
  3. Step 3: Cross multiply
    38,099x = 57,148.50 × 16,211
  4. Step 4: Simplify right side
    38,099x = 926,434,333.50
  5. Step 5: Solve for x
    x = 926,434,333.50/38,099
  6. Step 6: Final answer
    x = 24,316.50

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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.