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Finding the Fourth Proportional to 100,297.89, 150,454.26 and 33,737.76

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Solution

The fourth proportional to 100,297.89, 150,454.26 and 33,737.76 is: 50,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,297.89 : 150,454.26 = 33,737.76 : x
  2. Step 2: Convert to fraction form
    100,297.89/150,454.26 = 33,737.76/x
  3. Step 3: Cross multiply
    100,297.89x = 150,454.26 × 33,737.76
  4. Step 4: Simplify right side
    100,297.89x = 5,075,989,714.86
  5. Step 5: Solve for x
    x = 5,075,989,714.86/100,297.89
  6. Step 6: Final answer
    x = 50,609.14

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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.