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Finding the Fourth Proportional to 100,597.13, 150,748 and 50,608.52

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Solution

The fourth proportional to 100,597.13, 150,748 and 50,608.52 is: 75,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,597.13 : 150,748 = 50,608.52 : x
  2. Step 2: Convert to fraction form
    100,597.13/150,748 = 50,608.52/x
  3. Step 3: Cross multiply
    100,597.13x = 150,748 × 50,608.52
  4. Step 4: Simplify right side
    100,597.13x = 7,629,133,172.96
  5. Step 5: Solve for x
    x = 7,629,133,172.96/100,597.13
  6. Step 6: Final answer
    x = 75,838.48

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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.