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Finding the Fourth Proportional to 110,381.33, 165,599.94 and 31,495.84

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Solution

The fourth proportional to 110,381.33, 165,599.94 and 31,495.84 is: 47,251.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,381.33 : 165,599.94 = 31,495.84 : x
  2. Step 2: Convert to fraction form
    110,381.33/165,599.94 = 31,495.84/x
  3. Step 3: Cross multiply
    110,381.33x = 165,599.94 × 31,495.84
  4. Step 4: Simplify right side
    110,381.33x = 5,215,709,214.25
  5. Step 5: Solve for x
    x = 5,215,709,214.25/110,381.33
  6. Step 6: Final answer
    x = 47,251.73

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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.