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Finding the Fourth Proportional to 75,438.60, 113,222.70 and 33,383.40

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Solution

The fourth proportional to 75,438.60, 113,222.70 and 33,383.40 is: 50,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,438.60 : 113,222.70 = 33,383.40 : x
  2. Step 2: Convert to fraction form
    75,438.60/113,222.70 = 33,383.40/x
  3. Step 3: Cross multiply
    75,438.60x = 113,222.70 × 33,383.40
  4. Step 4: Simplify right side
    75,438.60x = 3,779,758,683.18
  5. Step 5: Solve for x
    x = 3,779,758,683.18/75,438.60
  6. Step 6: Final answer
    x = 50,103.78

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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.