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Finding the Fourth Proportional to 83,216.25, 114,836.26 and 49,226.49

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Solution

The fourth proportional to 83,216.25, 114,836.26 and 49,226.49 is: 67,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216.25 : 114,836.26 = 49,226.49 : x
  2. Step 2: Convert to fraction form
    83,216.25/114,836.26 = 49,226.49/x
  3. Step 3: Cross multiply
    83,216.25x = 114,836.26 × 49,226.49
  4. Step 4: Simplify right side
    83,216.25x = 5,652,986,004.53
  5. Step 5: Solve for x
    x = 5,652,986,004.53/83,216.25
  6. Step 6: Final answer
    x = 67,931.28

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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.