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Finding the Fourth Proportional to 100,593.48, 150,922.98 and 47,996.16

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Solution

The fourth proportional to 100,593.48, 150,922.98 and 47,996.16 is: 72,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,593.48 : 150,922.98 = 47,996.16 : x
  2. Step 2: Convert to fraction form
    100,593.48/150,922.98 = 47,996.16/x
  3. Step 3: Cross multiply
    100,593.48x = 150,922.98 × 47,996.16
  4. Step 4: Simplify right side
    100,593.48x = 7,243,723,495.76
  5. Step 5: Solve for x
    x = 7,243,723,495.76/100,593.48
  6. Step 6: Final answer
    x = 72,009.87

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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.