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Finding the Fourth Proportional to 77,792.69, 116,709.80 and 27,877.83

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Solution

The fourth proportional to 77,792.69, 116,709.80 and 27,877.83 is: 41,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,792.69 : 116,709.80 = 27,877.83 : x
  2. Step 2: Convert to fraction form
    77,792.69/116,709.80 = 27,877.83/x
  3. Step 3: Cross multiply
    77,792.69x = 116,709.80 × 27,877.83
  4. Step 4: Simplify right side
    77,792.69x = 3,253,615,729.63
  5. Step 5: Solve for x
    x = 3,253,615,729.63/77,792.69
  6. Step 6: Final answer
    x = 41,824.19

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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.