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Finding the Fourth Proportional to 100,924, 151,383.12 and 30,793.12

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Solution

The fourth proportional to 100,924, 151,383.12 and 30,793.12 is: 46,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,924 : 151,383.12 = 30,793.12 : x
  2. Step 2: Convert to fraction form
    100,924/151,383.12 = 30,793.12/x
  3. Step 3: Cross multiply
    100,924x = 151,383.12 × 30,793.12
  4. Step 4: Simplify right side
    100,924x = 4,661,558,580.13
  5. Step 5: Solve for x
    x = 4,661,558,580.13/100,924
  6. Step 6: Final answer
    x = 46,188.80

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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.