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Finding the Fourth Proportional to 77,858.84, 116,796.42 and 35,731.73

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Solution

The fourth proportional to 77,858.84, 116,796.42 and 35,731.73 is: 53,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858.84 : 116,796.42 = 35,731.73 : x
  2. Step 2: Convert to fraction form
    77,858.84/116,796.42 = 35,731.73/x
  3. Step 3: Cross multiply
    77,858.84x = 116,796.42 × 35,731.73
  4. Step 4: Simplify right side
    77,858.84x = 4,173,337,560.42
  5. Step 5: Solve for x
    x = 4,173,337,560.42/77,858.84
  6. Step 6: Final answer
    x = 53,601.34

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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.