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Finding the Fourth Proportional to 81,180.84, 111,895.70 and 54,313.72

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Solution

The fourth proportional to 81,180.84, 111,895.70 and 54,313.72 is: 74,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,180.84 : 111,895.70 = 54,313.72 : x
  2. Step 2: Convert to fraction form
    81,180.84/111,895.70 = 54,313.72/x
  3. Step 3: Cross multiply
    81,180.84x = 111,895.70 × 54,313.72
  4. Step 4: Simplify right side
    81,180.84x = 6,077,471,719.00
  5. Step 5: Solve for x
    x = 6,077,471,719.00/81,180.84
  6. Step 6: Final answer
    x = 74,863.38

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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.