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Finding the Fourth Proportional to 82,314, 113,619.24 and 52,506

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Solution

The fourth proportional to 82,314, 113,619.24 and 52,506 is: 72,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,314 : 113,619.24 = 52,506 : x
  2. Step 2: Convert to fraction form
    82,314/113,619.24 = 52,506/x
  3. Step 3: Cross multiply
    82,314x = 113,619.24 × 52,506
  4. Step 4: Simplify right side
    82,314x = 5,965,691,815.44
  5. Step 5: Solve for x
    x = 5,965,691,815.44/82,314
  6. Step 6: Final answer
    x = 72,474.81

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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.