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Finding the Fourth Proportional to 64,304.64, 96,422.94 and 24,822

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Solution

The fourth proportional to 64,304.64, 96,422.94 and 24,822 is: 37,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,304.64 : 96,422.94 = 24,822 : x
  2. Step 2: Convert to fraction form
    64,304.64/96,422.94 = 24,822/x
  3. Step 3: Cross multiply
    64,304.64x = 96,422.94 × 24,822
  4. Step 4: Simplify right side
    64,304.64x = 2,393,410,216.68
  5. Step 5: Solve for x
    x = 2,393,410,216.68/64,304.64
  6. Step 6: Final answer
    x = 37,219.87

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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.