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Finding the Fourth Proportional to 80,314.84, 120,474.20 and 27,007.51

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Solution

The fourth proportional to 80,314.84, 120,474.20 and 27,007.51 is: 40,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,314.84 : 120,474.20 = 27,007.51 : x
  2. Step 2: Convert to fraction form
    80,314.84/120,474.20 = 27,007.51/x
  3. Step 3: Cross multiply
    80,314.84x = 120,474.20 × 27,007.51
  4. Step 4: Simplify right side
    80,314.84x = 3,253,708,547.78
  5. Step 5: Solve for x
    x = 3,253,708,547.78/80,314.84
  6. Step 6: Final answer
    x = 40,511.92

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1.5x scale

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.