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Finding the Fourth Proportional to 73,982.76, 102,096.56 and 40,448.76

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Solution

The fourth proportional to 73,982.76, 102,096.56 and 40,448.76 is: 55,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,982.76 : 102,096.56 = 40,448.76 : x
  2. Step 2: Convert to fraction form
    73,982.76/102,096.56 = 40,448.76/x
  3. Step 3: Cross multiply
    73,982.76x = 102,096.56 × 40,448.76
  4. Step 4: Simplify right side
    73,982.76x = 4,129,679,252.27
  5. Step 5: Solve for x
    x = 4,129,679,252.27/73,982.76
  6. Step 6: Final answer
    x = 55,819.48

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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.