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Finding the Fourth Proportional to 110,689.88, 166,051.01 and 35,785.13

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Solution

The fourth proportional to 110,689.88, 166,051.01 and 35,785.13 is: 53,682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,689.88 : 166,051.01 = 35,785.13 : x
  2. Step 2: Convert to fraction form
    110,689.88/166,051.01 = 35,785.13/x
  3. Step 3: Cross multiply
    110,689.88x = 166,051.01 × 35,785.13
  4. Step 4: Simplify right side
    110,689.88x = 5,942,156,238.69
  5. Step 5: Solve for x
    x = 5,942,156,238.69/110,689.88
  6. Step 6: Final answer
    x = 53,682.92

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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.