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Finding the Fourth Proportional to 110,529.79, 165,794.20 and 31,644

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Solution

The fourth proportional to 110,529.79, 165,794.20 and 31,644 is: 47,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,529.79 : 165,794.20 = 31,644 : x
  2. Step 2: Convert to fraction form
    110,529.79/165,794.20 = 31,644/x
  3. Step 3: Cross multiply
    110,529.79x = 165,794.20 × 31,644
  4. Step 4: Simplify right side
    110,529.79x = 5,246,391,585.69
  5. Step 5: Solve for x
    x = 5,246,391,585.69/110,529.79
  6. Step 6: Final answer
    x = 47,465.86

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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.