Home / 32,961.75-49,442.20-8,002

Finding the Fourth Proportional to 32,961.75, 49,442.20 and 8,002

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Solution

The fourth proportional to 32,961.75, 49,442.20 and 8,002 is: 12,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.75 : 49,442.20 = 8,002 : x
  2. Step 2: Convert to fraction form
    32,961.75/49,442.20 = 8,002/x
  3. Step 3: Cross multiply
    32,961.75x = 49,442.20 × 8,002
  4. Step 4: Simplify right side
    32,961.75x = 395,636,484.40
  5. Step 5: Solve for x
    x = 395,636,484.40/32,961.75
  6. Step 6: Final answer
    x = 12,002.90

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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.