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Finding the Fourth Proportional to 100,004.76, 150,080.96 and 47,414.44

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Solution

The fourth proportional to 100,004.76, 150,080.96 and 47,414.44 is: 71,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,004.76 : 150,080.96 = 47,414.44 : x
  2. Step 2: Convert to fraction form
    100,004.76/150,080.96 = 47,414.44/x
  3. Step 3: Cross multiply
    100,004.76x = 150,080.96 × 47,414.44
  4. Step 4: Simplify right side
    100,004.76x = 7,116,004,673.06
  5. Step 5: Solve for x
    x = 7,116,004,673.06/100,004.76
  6. Step 6: Final answer
    x = 71,156.66

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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.