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Finding the Fourth Proportional to 83,096.30, 114,727.74 and 51,311.90

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Solution

The fourth proportional to 83,096.30, 114,727.74 and 51,311.90 is: 70,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,096.30 : 114,727.74 = 51,311.90 : x
  2. Step 2: Convert to fraction form
    83,096.30/114,727.74 = 51,311.90/x
  3. Step 3: Cross multiply
    83,096.30x = 114,727.74 × 51,311.90
  4. Step 4: Simplify right side
    83,096.30x = 5,886,898,322.11
  5. Step 5: Solve for x
    x = 5,886,898,322.11/83,096.30
  6. Step 6: Final answer
    x = 70,844.29

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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.