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Finding the Fourth Proportional to 77,656.62, 116,455.44 and 27,727.41

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Solution

The fourth proportional to 77,656.62, 116,455.44 and 27,727.41 is: 41,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,656.62 : 116,455.44 = 27,727.41 : x
  2. Step 2: Convert to fraction form
    77,656.62/116,455.44 = 27,727.41/x
  3. Step 3: Cross multiply
    77,656.62x = 116,455.44 × 27,727.41
  4. Step 4: Simplify right side
    77,656.62x = 3,229,007,731.61
  5. Step 5: Solve for x
    x = 3,229,007,731.61/77,656.62
  6. Step 6: Final answer
    x = 41,580.59

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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.