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Finding the Fourth Proportional to 82,152.84, 113,370.84 and 44,427

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Solution

The fourth proportional to 82,152.84, 113,370.84 and 44,427 is: 61,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,152.84 : 113,370.84 = 44,427 : x
  2. Step 2: Convert to fraction form
    82,152.84/113,370.84 = 44,427/x
  3. Step 3: Cross multiply
    82,152.84x = 113,370.84 × 44,427
  4. Step 4: Simplify right side
    82,152.84x = 5,036,726,308.68
  5. Step 5: Solve for x
    x = 5,036,726,308.68/82,152.84
  6. Step 6: Final answer
    x = 61,309.22

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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.