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Finding the Fourth Proportional to 82,905.50, 114,412.02 and 45,182.18

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Solution

The fourth proportional to 82,905.50, 114,412.02 and 45,182.18 is: 62,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,905.50 : 114,412.02 = 45,182.18 : x
  2. Step 2: Convert to fraction form
    82,905.50/114,412.02 = 45,182.18/x
  3. Step 3: Cross multiply
    82,905.50x = 114,412.02 × 45,182.18
  4. Step 4: Simplify right side
    82,905.50x = 5,169,384,481.80
  5. Step 5: Solve for x
    x = 5,169,384,481.80/82,905.50
  6. Step 6: Final answer
    x = 62,352.73

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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.