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Finding the Fourth Proportional to 100,552.68, 150,847.54 and 33,088.48

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Solution

The fourth proportional to 100,552.68, 150,847.54 and 33,088.48 is: 49,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,552.68 : 150,847.54 = 33,088.48 : x
  2. Step 2: Convert to fraction form
    100,552.68/150,847.54 = 33,088.48/x
  3. Step 3: Cross multiply
    100,552.68x = 150,847.54 × 33,088.48
  4. Step 4: Simplify right side
    100,552.68x = 4,991,315,810.34
  5. Step 5: Solve for x
    x = 4,991,315,810.34/100,552.68
  6. Step 6: Final answer
    x = 49,638.81

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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.