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Finding the Fourth Proportional to 43,797.66, 65,696.52 and 12,207.81

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Solution

The fourth proportional to 43,797.66, 65,696.52 and 12,207.81 is: 18,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,797.66 : 65,696.52 = 12,207.81 : x
  2. Step 2: Convert to fraction form
    43,797.66/65,696.52 = 12,207.81/x
  3. Step 3: Cross multiply
    43,797.66x = 65,696.52 × 12,207.81
  4. Step 4: Simplify right side
    43,797.66x = 802,010,633.82
  5. Step 5: Solve for x
    x = 802,010,633.82/43,797.66
  6. Step 6: Final answer
    x = 18,311.72

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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.