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Finding the Fourth Proportional to 100,169.76, 150,312.96 and 37,845.12

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Solution

The fourth proportional to 100,169.76, 150,312.96 and 37,845.12 is: 56,789.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,169.76 : 150,312.96 = 37,845.12 : x
  2. Step 2: Convert to fraction form
    100,169.76/150,312.96 = 37,845.12/x
  3. Step 3: Cross multiply
    100,169.76x = 150,312.96 × 37,845.12
  4. Step 4: Simplify right side
    100,169.76x = 5,688,612,008.76
  5. Step 5: Solve for x
    x = 5,688,612,008.76/100,169.76
  6. Step 6: Final answer
    x = 56,789.71

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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.