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Finding the Fourth Proportional to 64,262.16, 96,404.58 and 24,815.97

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Solution

The fourth proportional to 64,262.16, 96,404.58 and 24,815.97 is: 37,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,262.16 : 96,404.58 = 24,815.97 : x
  2. Step 2: Convert to fraction form
    64,262.16/96,404.58 = 24,815.97/x
  3. Step 3: Cross multiply
    64,262.16x = 96,404.58 × 24,815.97
  4. Step 4: Simplify right side
    64,262.16x = 2,392,373,165.14
  5. Step 5: Solve for x
    x = 2,392,373,165.14/64,262.16
  6. Step 6: Final answer
    x = 37,228.33

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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.