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Finding the Fourth Proportional to 75,850.83, 104,767.27 and 56,815.67

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Solution

The fourth proportional to 75,850.83, 104,767.27 and 56,815.67 is: 78,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850.83 : 104,767.27 = 56,815.67 : x
  2. Step 2: Convert to fraction form
    75,850.83/104,767.27 = 56,815.67/x
  3. Step 3: Cross multiply
    75,850.83x = 104,767.27 × 56,815.67
  4. Step 4: Simplify right side
    75,850.83x = 5,952,422,759.00
  5. Step 5: Solve for x
    x = 5,952,422,759.00/75,850.83
  6. Step 6: Final answer
    x = 78,475.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.