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Finding the Fourth Proportional to 30,098, 41,535.28 and 16,850

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Solution

The fourth proportional to 30,098, 41,535.28 and 16,850 is: 23,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098 : 41,535.28 = 16,850 : x
  2. Step 2: Convert to fraction form
    30,098/41,535.28 = 16,850/x
  3. Step 3: Cross multiply
    30,098x = 41,535.28 × 16,850
  4. Step 4: Simplify right side
    30,098x = 699,869,468
  5. Step 5: Solve for x
    x = 699,869,468/30,098
  6. Step 6: Final answer
    x = 23,253.02

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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.