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Finding the Fourth Proportional to 100,507.52, 150,765.76 and 33,941.76

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Solution

The fourth proportional to 100,507.52, 150,765.76 and 33,941.76 is: 50,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,507.52 : 150,765.76 = 33,941.76 : x
  2. Step 2: Convert to fraction form
    100,507.52/150,765.76 = 33,941.76/x
  3. Step 3: Cross multiply
    100,507.52x = 150,765.76 × 33,941.76
  4. Step 4: Simplify right side
    100,507.52x = 5,117,255,242.14
  5. Step 5: Solve for x
    x = 5,117,255,242.14/100,507.52
  6. Step 6: Final answer
    x = 50,914.15

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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.