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Finding the Fourth Proportional to 82,295.96, 113,569.43 and 48,305.12

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Solution

The fourth proportional to 82,295.96, 113,569.43 and 48,305.12 is: 66,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,295.96 : 113,569.43 = 48,305.12 : x
  2. Step 2: Convert to fraction form
    82,295.96/113,569.43 = 48,305.12/x
  3. Step 3: Cross multiply
    82,295.96x = 113,569.43 × 48,305.12
  4. Step 4: Simplify right side
    82,295.96x = 5,485,984,135.11
  5. Step 5: Solve for x
    x = 5,485,984,135.11/82,295.96
  6. Step 6: Final answer
    x = 66,661.65

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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.