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Finding the Fourth Proportional to 75,794.78, 113,771.03 and 55,826.82

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Solution

The fourth proportional to 75,794.78, 113,771.03 and 55,826.82 is: 83,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,794.78 : 113,771.03 = 55,826.82 : x
  2. Step 2: Convert to fraction form
    75,794.78/113,771.03 = 55,826.82/x
  3. Step 3: Cross multiply
    75,794.78x = 113,771.03 × 55,826.82
  4. Step 4: Simplify right side
    75,794.78x = 6,351,475,111.12
  5. Step 5: Solve for x
    x = 6,351,475,111.12/75,794.78
  6. Step 6: Final answer
    x = 83,798.31

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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.