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Finding the Fourth Proportional to 82,718.22, 114,120.22 and 48,705.92

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Solution

The fourth proportional to 82,718.22, 114,120.22 and 48,705.92 is: 67,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,718.22 : 114,120.22 = 48,705.92 : x
  2. Step 2: Convert to fraction form
    82,718.22/114,120.22 = 48,705.92/x
  3. Step 3: Cross multiply
    82,718.22x = 114,120.22 × 48,705.92
  4. Step 4: Simplify right side
    82,718.22x = 5,558,330,305.70
  5. Step 5: Solve for x
    x = 5,558,330,305.70/82,718.22
  6. Step 6: Final answer
    x = 67,195.96

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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.