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Finding the Fourth Proportional to 64,305.64, 96,424.44 and 24,823

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Solution

The fourth proportional to 64,305.64, 96,424.44 and 24,823 is: 37,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,305.64 : 96,424.44 = 24,823 : x
  2. Step 2: Convert to fraction form
    64,305.64/96,424.44 = 24,823/x
  3. Step 3: Cross multiply
    64,305.64x = 96,424.44 × 24,823
  4. Step 4: Simplify right side
    64,305.64x = 2,393,543,874.12
  5. Step 5: Solve for x
    x = 2,393,543,874.12/64,305.64
  6. Step 6: Final answer
    x = 37,221.37

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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.