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Finding the Fourth Proportional to 32,859.26, 49,310.76 and 12,082.76

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Solution

The fourth proportional to 32,859.26, 49,310.76 and 12,082.76 is: 18,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,859.26 : 49,310.76 = 12,082.76 : x
  2. Step 2: Convert to fraction form
    32,859.26/49,310.76 = 12,082.76/x
  3. Step 3: Cross multiply
    32,859.26x = 49,310.76 × 12,082.76
  4. Step 4: Simplify right side
    32,859.26x = 595,809,831.94
  5. Step 5: Solve for x
    x = 595,809,831.94/32,859.26
  6. Step 6: Final answer
    x = 18,132.18

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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.