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Finding the Fourth Proportional to 64,495.20, 96,713.64 and 22,943.28

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Solution

The fourth proportional to 64,495.20, 96,713.64 and 22,943.28 is: 34,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,495.20 : 96,713.64 = 22,943.28 : x
  2. Step 2: Convert to fraction form
    64,495.20/96,713.64 = 22,943.28/x
  3. Step 3: Cross multiply
    64,495.20x = 96,713.64 × 22,943.28
  4. Step 4: Simplify right side
    64,495.20x = 2,218,928,122.34
  5. Step 5: Solve for x
    x = 2,218,928,122.34/64,495.20
  6. Step 6: Final answer
    x = 34,404.55

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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.