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Finding the Fourth Proportional to 64,270.53, 96,355.85 and 24,288.86

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Solution

The fourth proportional to 64,270.53, 96,355.85 and 24,288.86 is: 36,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,270.53 : 96,355.85 = 24,288.86 : x
  2. Step 2: Convert to fraction form
    64,270.53/96,355.85 = 24,288.86/x
  3. Step 3: Cross multiply
    64,270.53x = 96,355.85 × 24,288.86
  4. Step 4: Simplify right side
    64,270.53x = 2,340,373,870.28
  5. Step 5: Solve for x
    x = 2,340,373,870.28/64,270.53
  6. Step 6: Final answer
    x = 36,414.42

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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.