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Finding the Fourth Proportional to 64,096.59, 96,143.82 and 24,662.25

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Solution

The fourth proportional to 64,096.59, 96,143.82 and 24,662.25 is: 36,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,096.59 : 96,143.82 = 24,662.25 : x
  2. Step 2: Convert to fraction form
    64,096.59/96,143.82 = 24,662.25/x
  3. Step 3: Cross multiply
    64,096.59x = 96,143.82 × 24,662.25
  4. Step 4: Simplify right side
    64,096.59x = 2,371,122,924.80
  5. Step 5: Solve for x
    x = 2,371,122,924.80/64,096.59
  6. Step 6: Final answer
    x = 36,992.97

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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.