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Finding the Fourth Proportional to 60,049.46, 82,856.85 and 37,683.38

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Solution

The fourth proportional to 60,049.46, 82,856.85 and 37,683.38 is: 51,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,049.46 : 82,856.85 = 37,683.38 : x
  2. Step 2: Convert to fraction form
    60,049.46/82,856.85 = 37,683.38/x
  3. Step 3: Cross multiply
    60,049.46x = 82,856.85 × 37,683.38
  4. Step 4: Simplify right side
    60,049.46x = 3,122,326,164.15
  5. Step 5: Solve for x
    x = 3,122,326,164.15/60,049.46
  6. Step 6: Final answer
    x = 51,995.91

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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.