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Finding the Fourth Proportional to 82,861.44, 114,361.92 and 49,346.88

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Solution

The fourth proportional to 82,861.44, 114,361.92 and 49,346.88 is: 68,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,861.44 : 114,361.92 = 49,346.88 : x
  2. Step 2: Convert to fraction form
    82,861.44/114,361.92 = 49,346.88/x
  3. Step 3: Cross multiply
    82,861.44x = 114,361.92 × 49,346.88
  4. Step 4: Simplify right side
    82,861.44x = 5,643,403,942.81
  5. Step 5: Solve for x
    x = 5,643,403,942.81/82,861.44
  6. Step 6: Final answer
    x = 68,106.52

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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.