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Finding the Fourth Proportional to 31,758.66, 43,826.61 and 17,611.38

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Solution

The fourth proportional to 31,758.66, 43,826.61 and 17,611.38 is: 24,303.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,758.66 : 43,826.61 = 17,611.38 : x
  2. Step 2: Convert to fraction form
    31,758.66/43,826.61 = 17,611.38/x
  3. Step 3: Cross multiply
    31,758.66x = 43,826.61 × 17,611.38
  4. Step 4: Simplify right side
    31,758.66x = 771,847,082.82
  5. Step 5: Solve for x
    x = 771,847,082.82/31,758.66
  6. Step 6: Final answer
    x = 24,303.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.