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Finding the Fourth Proportional to 64,129.36, 96,230.28 and 34,546.48

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Solution

The fourth proportional to 64,129.36, 96,230.28 and 34,546.48 is: 51,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,129.36 : 96,230.28 = 34,546.48 : x
  2. Step 2: Convert to fraction form
    64,129.36/96,230.28 = 34,546.48/x
  3. Step 3: Cross multiply
    64,129.36x = 96,230.28 × 34,546.48
  4. Step 4: Simplify right side
    64,129.36x = 3,324,417,443.41
  5. Step 5: Solve for x
    x = 3,324,417,443.41/64,129.36
  6. Step 6: Final answer
    x = 51,839.24

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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.