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Finding the Fourth Proportional to 82,813.50, 114,283.08 and 45,087.75

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Solution

The fourth proportional to 82,813.50, 114,283.08 and 45,087.75 is: 62,221.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813.50 : 114,283.08 = 45,087.75 : x
  2. Step 2: Convert to fraction form
    82,813.50/114,283.08 = 45,087.75/x
  3. Step 3: Cross multiply
    82,813.50x = 114,283.08 × 45,087.75
  4. Step 4: Simplify right side
    82,813.50x = 5,152,766,940.27
  5. Step 5: Solve for x
    x = 5,152,766,940.27/82,813.50
  6. Step 6: Final answer
    x = 62,221.34

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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.