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Finding the Fourth Proportional to 100,292.58, 150,339.92 and 47,738.97

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Solution

The fourth proportional to 100,292.58, 150,339.92 and 47,738.97 is: 71,561.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,292.58 : 150,339.92 = 47,738.97 : x
  2. Step 2: Convert to fraction form
    100,292.58/150,339.92 = 47,738.97/x
  3. Step 3: Cross multiply
    100,292.58x = 150,339.92 × 47,738.97
  4. Step 4: Simplify right side
    100,292.58x = 7,177,072,691.99
  5. Step 5: Solve for x
    x = 7,177,072,691.99/100,292.58
  6. Step 6: Final answer
    x = 71,561.35

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1.5x scale

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.