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Finding the Fourth Proportional to 77,633.17, 116,474.38 and 27,712.17

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Solution

The fourth proportional to 77,633.17, 116,474.38 and 27,712.17 is: 41,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,633.17 : 116,474.38 = 27,712.17 : x
  2. Step 2: Convert to fraction form
    77,633.17/116,474.38 = 27,712.17/x
  3. Step 3: Cross multiply
    77,633.17x = 116,474.38 × 27,712.17
  4. Step 4: Simplify right side
    77,633.17x = 3,227,757,819.20
  5. Step 5: Solve for x
    x = 3,227,757,819.20/77,633.17
  6. Step 6: Final answer
    x = 41,577.05

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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.