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Finding the Fourth Proportional to 82,017.64, 112,446.17 and 80,522.96

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Solution

The fourth proportional to 82,017.64, 112,446.17 and 80,522.96 is: 110,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,017.64 : 112,446.17 = 80,522.96 : x
  2. Step 2: Convert to fraction form
    82,017.64/112,446.17 = 80,522.96/x
  3. Step 3: Cross multiply
    82,017.64x = 112,446.17 × 80,522.96
  4. Step 4: Simplify right side
    82,017.64x = 9,054,498,362.07
  5. Step 5: Solve for x
    x = 9,054,498,362.07/82,017.64
  6. Step 6: Final answer
    x = 110,396.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.