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Finding the Fourth Proportional to 32,094.50, 48,144.53 and 8,401.95

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Solution

The fourth proportional to 32,094.50, 48,144.53 and 8,401.95 is: 12,603.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.50 : 48,144.53 = 8,401.95 : x
  2. Step 2: Convert to fraction form
    32,094.50/48,144.53 = 8,401.95/x
  3. Step 3: Cross multiply
    32,094.50x = 48,144.53 × 8,401.95
  4. Step 4: Simplify right side
    32,094.50x = 404,508,042.98
  5. Step 5: Solve for x
    x = 404,508,042.98/32,094.50
  6. Step 6: Final answer
    x = 12,603.65

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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.