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Finding the Fourth Proportional to 78,592.82, 108,462.93 and 45,069.62

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Solution

The fourth proportional to 78,592.82, 108,462.93 and 45,069.62 is: 62,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592.82 : 108,462.93 = 45,069.62 : x
  2. Step 2: Convert to fraction form
    78,592.82/108,462.93 = 45,069.62/x
  3. Step 3: Cross multiply
    78,592.82x = 108,462.93 × 45,069.62
  4. Step 4: Simplify right side
    78,592.82x = 4,888,383,039.19
  5. Step 5: Solve for x
    x = 4,888,383,039.19/78,592.82
  6. Step 6: Final answer
    x = 62,198.85

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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.