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Finding the Fourth Proportional to 33,477.76, 50,224.76 and 10,102.80

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Solution

The fourth proportional to 33,477.76, 50,224.76 and 10,102.80 is: 15,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,477.76 : 50,224.76 = 10,102.80 : x
  2. Step 2: Convert to fraction form
    33,477.76/50,224.76 = 10,102.80/x
  3. Step 3: Cross multiply
    33,477.76x = 50,224.76 × 10,102.80
  4. Step 4: Simplify right side
    33,477.76x = 507,410,705.33
  5. Step 5: Solve for x
    x = 507,410,705.33/33,477.76
  6. Step 6: Final answer
    x = 15,156.65

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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.