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Finding the Fourth Proportional to 110,717, 165,964.47 and 57,379.10

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Solution

The fourth proportional to 110,717, 165,964.47 and 57,379.10 is: 86,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,717 : 165,964.47 = 57,379.10 : x
  2. Step 2: Convert to fraction form
    110,717/165,964.47 = 57,379.10/x
  3. Step 3: Cross multiply
    110,717x = 165,964.47 × 57,379.10
  4. Step 4: Simplify right side
    110,717x = 9,522,891,920.58
  5. Step 5: Solve for x
    x = 9,522,891,920.58/110,717
  6. Step 6: Final answer
    x = 86,011.11

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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.