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Finding the Fourth Proportional to 75,286.40, 112,913.40 and 33,166.40

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Solution

The fourth proportional to 75,286.40, 112,913.40 and 33,166.40 is: 49,742.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286.40 : 112,913.40 = 33,166.40 : x
  2. Step 2: Convert to fraction form
    75,286.40/112,913.40 = 33,166.40/x
  3. Step 3: Cross multiply
    75,286.40x = 112,913.40 × 33,166.40
  4. Step 4: Simplify right side
    75,286.40x = 3,744,930,989.76
  5. Step 5: Solve for x
    x = 3,744,930,989.76/75,286.40
  6. Step 6: Final answer
    x = 49,742.46

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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.