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Finding the Fourth Proportional to 82,530.37, 113,892.37 and 48,540.29

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Solution

The fourth proportional to 82,530.37, 113,892.37 and 48,540.29 is: 66,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,530.37 : 113,892.37 = 48,540.29 : x
  2. Step 2: Convert to fraction form
    82,530.37/113,892.37 = 48,540.29/x
  3. Step 3: Cross multiply
    82,530.37x = 113,892.37 × 48,540.29
  4. Step 4: Simplify right side
    82,530.37x = 5,528,368,099.13
  5. Step 5: Solve for x
    x = 5,528,368,099.13/82,530.37
  6. Step 6: Final answer
    x = 66,985.87

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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.