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Finding the Fourth Proportional to 82,043.86, 113,230.84 and 48,065.31

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Solution

The fourth proportional to 82,043.86, 113,230.84 and 48,065.31 is: 66,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,043.86 : 113,230.84 = 48,065.31 : x
  2. Step 2: Convert to fraction form
    82,043.86/113,230.84 = 48,065.31/x
  3. Step 3: Cross multiply
    82,043.86x = 113,230.84 × 48,065.31
  4. Step 4: Simplify right side
    82,043.86x = 5,442,475,426.16
  5. Step 5: Solve for x
    x = 5,442,475,426.16/82,043.86
  6. Step 6: Final answer
    x = 66,336.17

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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.