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Finding the Fourth Proportional to 82,530.65, 113,892.77 and 48,540.57

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Solution

The fourth proportional to 82,530.65, 113,892.77 and 48,540.57 is: 66,986.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,530.65 : 113,892.77 = 48,540.57 : x
  2. Step 2: Convert to fraction form
    82,530.65/113,892.77 = 48,540.57/x
  3. Step 3: Cross multiply
    82,530.65x = 113,892.77 × 48,540.57
  4. Step 4: Simplify right side
    82,530.65x = 5,528,419,162.51
  5. Step 5: Solve for x
    x = 5,528,419,162.51/82,530.65
  6. Step 6: Final answer
    x = 66,986.25

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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.