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Finding the Fourth Proportional to 79,608.32, 119,408.16 and 24,200

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Solution

The fourth proportional to 79,608.32, 119,408.16 and 24,200 is: 36,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,608.32 : 119,408.16 = 24,200 : x
  2. Step 2: Convert to fraction form
    79,608.32/119,408.16 = 24,200/x
  3. Step 3: Cross multiply
    79,608.32x = 119,408.16 × 24,200
  4. Step 4: Simplify right side
    79,608.32x = 2,889,677,472
  5. Step 5: Solve for x
    x = 2,889,677,472/79,608.32
  6. Step 6: Final answer
    x = 36,298.69

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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.