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Finding the Fourth Proportional to 77,823, 116,713.24 and 27,893.79

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Solution

The fourth proportional to 77,823, 116,713.24 and 27,893.79 is: 41,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,823 : 116,713.24 = 27,893.79 : x
  2. Step 2: Convert to fraction form
    77,823/116,713.24 = 27,893.79/x
  3. Step 3: Cross multiply
    77,823x = 116,713.24 × 27,893.79
  4. Step 4: Simplify right side
    77,823x = 3,255,574,537.05
  5. Step 5: Solve for x
    x = 3,255,574,537.05/77,823
  6. Step 6: Final answer
    x = 41,833.06

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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.