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Finding the Fourth Proportional to 73,956.20, 102,059.54 and 40,422.20

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Solution

The fourth proportional to 73,956.20, 102,059.54 and 40,422.20 is: 55,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,956.20 : 102,059.54 = 40,422.20 : x
  2. Step 2: Convert to fraction form
    73,956.20/102,059.54 = 40,422.20/x
  3. Step 3: Cross multiply
    73,956.20x = 102,059.54 × 40,422.20
  4. Step 4: Simplify right side
    73,956.20x = 4,125,470,425.38
  5. Step 5: Solve for x
    x = 4,125,470,425.38/73,956.20
  6. Step 6: Final answer
    x = 55,782.62

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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.