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Finding the Fourth Proportional to 82,861.04, 114,407.16 and 51,039.92

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Solution

The fourth proportional to 82,861.04, 114,407.16 and 51,039.92 is: 70,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,861.04 : 114,407.16 = 51,039.92 : x
  2. Step 2: Convert to fraction form
    82,861.04/114,407.16 = 51,039.92/x
  3. Step 3: Cross multiply
    82,861.04x = 114,407.16 × 51,039.92
  4. Step 4: Simplify right side
    82,861.04x = 5,839,332,293.83
  5. Step 5: Solve for x
    x = 5,839,332,293.83/82,861.04
  6. Step 6: Final answer
    x = 70,471.39

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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.