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Finding the Fourth Proportional to 84,189.98, 116,181.42 and 45,949.16

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Solution

The fourth proportional to 84,189.98, 116,181.42 and 45,949.16 is: 63,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,189.98 : 116,181.42 = 45,949.16 : x
  2. Step 2: Convert to fraction form
    84,189.98/116,181.42 = 45,949.16/x
  3. Step 3: Cross multiply
    84,189.98x = 116,181.42 × 45,949.16
  4. Step 4: Simplify right side
    84,189.98x = 5,338,438,656.61
  5. Step 5: Solve for x
    x = 5,338,438,656.61/84,189.98
  6. Step 6: Final answer
    x = 63,409.43

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