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Finding the Fourth Proportional to 64,939.20, 97,408.80 and 47,227.20

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Solution

The fourth proportional to 64,939.20, 97,408.80 and 47,227.20 is: 70,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,939.20 : 97,408.80 = 47,227.20 : x
  2. Step 2: Convert to fraction form
    64,939.20/97,408.80 = 47,227.20/x
  3. Step 3: Cross multiply
    64,939.20x = 97,408.80 × 47,227.20
  4. Step 4: Simplify right side
    64,939.20x = 4,600,344,879.36
  5. Step 5: Solve for x
    x = 4,600,344,879.36/64,939.20
  6. Step 6: Final answer
    x = 70,840.80

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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.