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Finding the Fourth Proportional to 71,438.12, 107,175 and 50,419.22

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Solution

The fourth proportional to 71,438.12, 107,175 and 50,419.22 is: 75,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,438.12 : 107,175 = 50,419.22 : x
  2. Step 2: Convert to fraction form
    71,438.12/107,175 = 50,419.22/x
  3. Step 3: Cross multiply
    71,438.12x = 107,175 × 50,419.22
  4. Step 4: Simplify right side
    71,438.12x = 5,403,679,903.50
  5. Step 5: Solve for x
    x = 5,403,679,903.50/71,438.12
  6. Step 6: Final answer
    x = 75,641.41

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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.