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Finding the Fourth Proportional to 100,171.76, 150,315.96 and 37,847.12

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Solution

The fourth proportional to 100,171.76, 150,315.96 and 37,847.12 is: 56,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,171.76 : 150,315.96 = 37,847.12 : x
  2. Step 2: Convert to fraction form
    100,171.76/150,315.96 = 37,847.12/x
  3. Step 3: Cross multiply
    100,171.76x = 150,315.96 × 37,847.12
  4. Step 4: Simplify right side
    100,171.76x = 5,689,026,176.04
  5. Step 5: Solve for x
    x = 5,689,026,176.04/100,171.76
  6. Step 6: Final answer
    x = 56,792.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.