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Finding the Fourth Proportional to 82,873.21, 114,359.64 and 48,873.90

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Solution

The fourth proportional to 82,873.21, 114,359.64 and 48,873.90 is: 67,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,873.21 : 114,359.64 = 48,873.90 : x
  2. Step 2: Convert to fraction form
    82,873.21/114,359.64 = 48,873.90/x
  3. Step 3: Cross multiply
    82,873.21x = 114,359.64 × 48,873.90
  4. Step 4: Simplify right side
    82,873.21x = 5,589,201,609.40
  5. Step 5: Solve for x
    x = 5,589,201,609.40/82,873.21
  6. Step 6: Final answer
    x = 67,442.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.