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Finding the Fourth Proportional to 82,362.76, 113,661 and 44,637

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Solution

The fourth proportional to 82,362.76, 113,661 and 44,637 is: 61,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,362.76 : 113,661 = 44,637 : x
  2. Step 2: Convert to fraction form
    82,362.76/113,661 = 44,637/x
  3. Step 3: Cross multiply
    82,362.76x = 113,661 × 44,637
  4. Step 4: Simplify right side
    82,362.76x = 5,073,486,057
  5. Step 5: Solve for x
    x = 5,073,486,057/82,362.76
  6. Step 6: Final answer
    x = 61,599.27

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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.