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Finding the Fourth Proportional to 77,566.77, 116,361.09 and 27,636.17

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Solution

The fourth proportional to 77,566.77, 116,361.09 and 27,636.17 is: 41,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,566.77 : 116,361.09 = 27,636.17 : x
  2. Step 2: Convert to fraction form
    77,566.77/116,361.09 = 27,636.17/x
  3. Step 3: Cross multiply
    77,566.77x = 116,361.09 × 27,636.17
  4. Step 4: Simplify right side
    77,566.77x = 3,215,774,282.82
  5. Step 5: Solve for x
    x = 3,215,774,282.82/77,566.77
  6. Step 6: Final answer
    x = 41,458.14

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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.