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Finding the Fourth Proportional to 32,082, 48,122.19 and 8,707.83

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Solution

The fourth proportional to 32,082, 48,122.19 and 8,707.83 is: 13,061.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082 : 48,122.19 = 8,707.83 : x
  2. Step 2: Convert to fraction form
    32,082/48,122.19 = 8,707.83/x
  3. Step 3: Cross multiply
    32,082x = 48,122.19 × 8,707.83
  4. Step 4: Simplify right side
    32,082x = 419,039,849.75
  5. Step 5: Solve for x
    x = 419,039,849.75/32,082
  6. Step 6: Final answer
    x = 13,061.53

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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.