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Finding the Fourth Proportional to 64,007.28, 96,024 and 22,483.44

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Solution

The fourth proportional to 64,007.28, 96,024 and 22,483.44 is: 33,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,007.28 : 96,024 = 22,483.44 : x
  2. Step 2: Convert to fraction form
    64,007.28/96,024 = 22,483.44/x
  3. Step 3: Cross multiply
    64,007.28x = 96,024 × 22,483.44
  4. Step 4: Simplify right side
    64,007.28x = 2,158,949,842.56
  5. Step 5: Solve for x
    x = 2,158,949,842.56/64,007.28
  6. Step 6: Final answer
    x = 33,729.75

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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.