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Finding the Fourth Proportional to 82,431.16, 113,713.14 and 52,165.48

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Solution

The fourth proportional to 82,431.16, 113,713.14 and 52,165.48 is: 71,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,431.16 : 113,713.14 = 52,165.48 : x
  2. Step 2: Convert to fraction form
    82,431.16/113,713.14 = 52,165.48/x
  3. Step 3: Cross multiply
    82,431.16x = 113,713.14 × 52,165.48
  4. Step 4: Simplify right side
    82,431.16x = 5,931,900,530.41
  5. Step 5: Solve for x
    x = 5,931,900,530.41/82,431.16
  6. Step 6: Final answer
    x = 71,961.87

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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.