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Finding the Fourth Proportional to 32,883.39, 49,303.41 and 11,812.86

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Solution

The fourth proportional to 32,883.39, 49,303.41 and 11,812.86 is: 17,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.39 : 49,303.41 = 11,812.86 : x
  2. Step 2: Convert to fraction form
    32,883.39/49,303.41 = 11,812.86/x
  3. Step 3: Cross multiply
    32,883.39x = 49,303.41 × 11,812.86
  4. Step 4: Simplify right side
    32,883.39x = 582,414,279.85
  5. Step 5: Solve for x
    x = 582,414,279.85/32,883.39
  6. Step 6: Final answer
    x = 17,711.50

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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.