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Finding the Fourth Proportional to 64,834.55, 89,468.22 and 36,157.16

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Solution

The fourth proportional to 64,834.55, 89,468.22 and 36,157.16 is: 49,894.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,834.55 : 89,468.22 = 36,157.16 : x
  2. Step 2: Convert to fraction form
    64,834.55/89,468.22 = 36,157.16/x
  3. Step 3: Cross multiply
    64,834.55x = 89,468.22 × 36,157.16
  4. Step 4: Simplify right side
    64,834.55x = 3,234,916,433.70
  5. Step 5: Solve for x
    x = 3,234,916,433.70/64,834.55
  6. Step 6: Final answer
    x = 49,894.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.