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Finding the Fourth Proportional to 64,304, 96,456 and 29,253.68

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Solution

The fourth proportional to 64,304, 96,456 and 29,253.68 is: 43,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,304 : 96,456 = 29,253.68 : x
  2. Step 2: Convert to fraction form
    64,304/96,456 = 29,253.68/x
  3. Step 3: Cross multiply
    64,304x = 96,456 × 29,253.68
  4. Step 4: Simplify right side
    64,304x = 2,821,692,958.08
  5. Step 5: Solve for x
    x = 2,821,692,958.08/64,304
  6. Step 6: Final answer
    x = 43,880.52

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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.