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Finding the Fourth Proportional to 64,202.40, 96,286.32 and 22,644

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Solution

The fourth proportional to 64,202.40, 96,286.32 and 22,644 is: 33,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,202.40 : 96,286.32 = 22,644 : x
  2. Step 2: Convert to fraction form
    64,202.40/96,286.32 = 22,644/x
  3. Step 3: Cross multiply
    64,202.40x = 96,286.32 × 22,644
  4. Step 4: Simplify right side
    64,202.40x = 2,180,307,430.08
  5. Step 5: Solve for x
    x = 2,180,307,430.08/64,202.40
  6. Step 6: Final answer
    x = 33,959.91

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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.