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Finding the Fourth Proportional to 100,294.08, 150,342.17 and 47,740.47

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Solution

The fourth proportional to 100,294.08, 150,342.17 and 47,740.47 is: 71,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294.08 : 150,342.17 = 47,740.47 : x
  2. Step 2: Convert to fraction form
    100,294.08/150,342.17 = 47,740.47/x
  3. Step 3: Cross multiply
    100,294.08x = 150,342.17 × 47,740.47
  4. Step 4: Simplify right side
    100,294.08x = 7,177,405,617.92
  5. Step 5: Solve for x
    x = 7,177,405,617.92/100,294.08
  6. Step 6: Final answer
    x = 71,563.60

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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.