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Finding the Fourth Proportional to 80,068.16, 120,073.44 and 27,464

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Solution

The fourth proportional to 80,068.16, 120,073.44 and 27,464 is: 41,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,068.16 : 120,073.44 = 27,464 : x
  2. Step 2: Convert to fraction form
    80,068.16/120,073.44 = 27,464/x
  3. Step 3: Cross multiply
    80,068.16x = 120,073.44 × 27,464
  4. Step 4: Simplify right side
    80,068.16x = 3,297,696,956.16
  5. Step 5: Solve for x
    x = 3,297,696,956.16/80,068.16
  6. Step 6: Final answer
    x = 41,186.12

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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.