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Finding the Fourth Proportional to 77,579.46, 107,071.20 and 47,382.12

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Solution

The fourth proportional to 77,579.46, 107,071.20 and 47,382.12 is: 65,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,579.46 : 107,071.20 = 47,382.12 : x
  2. Step 2: Convert to fraction form
    77,579.46/107,071.20 = 47,382.12/x
  3. Step 3: Cross multiply
    77,579.46x = 107,071.20 × 47,382.12
  4. Step 4: Simplify right side
    77,579.46x = 5,073,260,446.94
  5. Step 5: Solve for x
    x = 5,073,260,446.94/77,579.46
  6. Step 6: Final answer
    x = 65,394.38

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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.