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Finding the Fourth Proportional to 82,604.28, 113,993.15 and 44,878.53

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Solution

The fourth proportional to 82,604.28, 113,993.15 and 44,878.53 is: 61,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,604.28 : 113,993.15 = 44,878.53 : x
  2. Step 2: Convert to fraction form
    82,604.28/113,993.15 = 44,878.53/x
  3. Step 3: Cross multiply
    82,604.28x = 113,993.15 × 44,878.53
  4. Step 4: Simplify right side
    82,604.28x = 5,115,844,777.68
  5. Step 5: Solve for x
    x = 5,115,844,777.68/82,604.28
  6. Step 6: Final answer
    x = 61,931.96

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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.