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Finding the Fourth Proportional to 82,042.32, 113,208.36 and 48,025.56

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Solution

The fourth proportional to 82,042.32, 113,208.36 and 48,025.56 is: 66,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,042.32 : 113,208.36 = 48,025.56 : x
  2. Step 2: Convert to fraction form
    82,042.32/113,208.36 = 48,025.56/x
  3. Step 3: Cross multiply
    82,042.32x = 113,208.36 × 48,025.56
  4. Step 4: Simplify right side
    82,042.32x = 5,436,894,885.68
  5. Step 5: Solve for x
    x = 5,436,894,885.68/82,042.32
  6. Step 6: Final answer
    x = 66,269.39

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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.