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Finding the Fourth Proportional to 97,682.40, 146,408.40 and 50,911.20

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Solution

The fourth proportional to 97,682.40, 146,408.40 and 50,911.20 is: 76,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,682.40 : 146,408.40 = 50,911.20 : x
  2. Step 2: Convert to fraction form
    97,682.40/146,408.40 = 50,911.20/x
  3. Step 3: Cross multiply
    97,682.40x = 146,408.40 × 50,911.20
  4. Step 4: Simplify right side
    97,682.40x = 7,453,827,334.08
  5. Step 5: Solve for x
    x = 7,453,827,334.08/97,682.40
  6. Step 6: Final answer
    x = 76,306.76

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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.