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Finding the Fourth Proportional to 82,228.34, 113,475.38 and 44,502.58

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Solution

The fourth proportional to 82,228.34, 113,475.38 and 44,502.58 is: 61,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,228.34 : 113,475.38 = 44,502.58 : x
  2. Step 2: Convert to fraction form
    82,228.34/113,475.38 = 44,502.58/x
  3. Step 3: Cross multiply
    82,228.34x = 113,475.38 × 44,502.58
  4. Step 4: Simplify right side
    82,228.34x = 5,049,947,176.48
  5. Step 5: Solve for x
    x = 5,049,947,176.48/82,228.34
  6. Step 6: Final answer
    x = 61,413.71

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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.