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Finding the Fourth Proportional to 75,958.62, 113,938.20 and 44,772

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Solution

The fourth proportional to 75,958.62, 113,938.20 and 44,772 is: 67,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,958.62 : 113,938.20 = 44,772 : x
  2. Step 2: Convert to fraction form
    75,958.62/113,938.20 = 44,772/x
  3. Step 3: Cross multiply
    75,958.62x = 113,938.20 × 44,772
  4. Step 4: Simplify right side
    75,958.62x = 5,101,241,090.40
  5. Step 5: Solve for x
    x = 5,101,241,090.40/75,958.62
  6. Step 6: Final answer
    x = 67,158.16

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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.