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Finding the Fourth Proportional to 82,856.67, 114,305.81 and 55,989.39

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Solution

The fourth proportional to 82,856.67, 114,305.81 and 55,989.39 is: 77,240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,856.67 : 114,305.81 = 55,989.39 : x
  2. Step 2: Convert to fraction form
    82,856.67/114,305.81 = 55,989.39/x
  3. Step 3: Cross multiply
    82,856.67x = 114,305.81 × 55,989.39
  4. Step 4: Simplify right side
    82,856.67x = 6,399,912,295.41
  5. Step 5: Solve for x
    x = 6,399,912,295.41/82,856.67
  6. Step 6: Final answer
    x = 77,240.76

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1.5x scale

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.