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Finding the Fourth Proportional to 73,049.92, 100,821.26 and 42,418.26

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Solution

The fourth proportional to 73,049.92, 100,821.26 and 42,418.26 is: 58,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,049.92 : 100,821.26 = 42,418.26 : x
  2. Step 2: Convert to fraction form
    73,049.92/100,821.26 = 42,418.26/x
  3. Step 3: Cross multiply
    73,049.92x = 100,821.26 × 42,418.26
  4. Step 4: Simplify right side
    73,049.92x = 4,276,662,420.21
  5. Step 5: Solve for x
    x = 4,276,662,420.21/73,049.92
  6. Step 6: Final answer
    x = 58,544.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.