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Finding the Fourth Proportional to 82,850.92, 114,297.88 and 55,983.63

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Solution

The fourth proportional to 82,850.92, 114,297.88 and 55,983.63 is: 77,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,850.92 : 114,297.88 = 55,983.63 : x
  2. Step 2: Convert to fraction form
    82,850.92/114,297.88 = 55,983.63/x
  3. Step 3: Cross multiply
    82,850.92x = 114,297.88 × 55,983.63
  4. Step 4: Simplify right side
    82,850.92x = 6,398,810,223.70
  5. Step 5: Solve for x
    x = 6,398,810,223.70/82,850.92
  6. Step 6: Final answer
    x = 77,232.82

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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.