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Finding the Fourth Proportional to 82,193.75, 113,427.38 and 44,468

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Solution

The fourth proportional to 82,193.75, 113,427.38 and 44,468 is: 61,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,193.75 : 113,427.38 = 44,468 : x
  2. Step 2: Convert to fraction form
    82,193.75/113,427.38 = 44,468/x
  3. Step 3: Cross multiply
    82,193.75x = 113,427.38 × 44,468
  4. Step 4: Simplify right side
    82,193.75x = 5,043,888,511.50
  5. Step 5: Solve for x
    x = 5,043,888,511.50/82,193.75
  6. Step 6: Final answer
    x = 61,365.84

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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.