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Finding the Fourth Proportional to 109,048.30, 163,559.79 and 30,168.68

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Solution

The fourth proportional to 109,048.30, 163,559.79 and 30,168.68 is: 45,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,048.30 : 163,559.79 = 30,168.68 : x
  2. Step 2: Convert to fraction form
    109,048.30/163,559.79 = 30,168.68/x
  3. Step 3: Cross multiply
    109,048.30x = 163,559.79 × 30,168.68
  4. Step 4: Simplify right side
    109,048.30x = 4,934,382,147.58
  5. Step 5: Solve for x
    x = 4,934,382,147.58/109,048.30
  6. Step 6: Final answer
    x = 45,249.51

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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.