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Finding the Fourth Proportional to 82,049.32, 113,227.64 and 47,601.02

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Solution

The fourth proportional to 82,049.32, 113,227.64 and 47,601.02 is: 65,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,049.32 : 113,227.64 = 47,601.02 : x
  2. Step 2: Convert to fraction form
    82,049.32/113,227.64 = 47,601.02/x
  3. Step 3: Cross multiply
    82,049.32x = 113,227.64 × 47,601.02
  4. Step 4: Simplify right side
    82,049.32x = 5,389,751,156.19
  5. Step 5: Solve for x
    x = 5,389,751,156.19/82,049.32
  6. Step 6: Final answer
    x = 65,689.16

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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.