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Finding the Fourth Proportional to 32,722.02, 49,082.49 and 8,098.02

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Solution

The fourth proportional to 32,722.02, 49,082.49 and 8,098.02 is: 12,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,722.02 : 49,082.49 = 8,098.02 : x
  2. Step 2: Convert to fraction form
    32,722.02/49,082.49 = 8,098.02/x
  3. Step 3: Cross multiply
    32,722.02x = 49,082.49 × 8,098.02
  4. Step 4: Simplify right side
    32,722.02x = 397,470,985.67
  5. Step 5: Solve for x
    x = 397,470,985.67/32,722.02
  6. Step 6: Final answer
    x = 12,146.90

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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.