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Finding the Fourth Proportional to 82,914.12, 114,418.44 and 45,187.56

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Solution

The fourth proportional to 82,914.12, 114,418.44 and 45,187.56 is: 62,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914.12 : 114,418.44 = 45,187.56 : x
  2. Step 2: Convert to fraction form
    82,914.12/114,418.44 = 45,187.56/x
  3. Step 3: Cross multiply
    82,914.12x = 114,418.44 × 45,187.56
  4. Step 4: Simplify right side
    82,914.12x = 5,170,290,122.61
  5. Step 5: Solve for x
    x = 5,170,290,122.61/82,914.12
  6. Step 6: Final answer
    x = 62,357.17

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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.