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Finding the Fourth Proportional to 82,847.96, 114,345.02 and 48,854.39

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Solution

The fourth proportional to 82,847.96, 114,345.02 and 48,854.39 is: 67,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,847.96 : 114,345.02 = 48,854.39 : x
  2. Step 2: Convert to fraction form
    82,847.96/114,345.02 = 48,854.39/x
  3. Step 3: Cross multiply
    82,847.96x = 114,345.02 × 48,854.39
  4. Step 4: Simplify right side
    82,847.96x = 5,586,256,120.43
  5. Step 5: Solve for x
    x = 5,586,256,120.43/82,847.96
  6. Step 6: Final answer
    x = 67,427.80

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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.