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Finding the Fourth Proportional to 100,613.10, 150,910.88 and 34,051.74

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Solution

The fourth proportional to 100,613.10, 150,910.88 and 34,051.74 is: 51,074.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613.10 : 150,910.88 = 34,051.74 : x
  2. Step 2: Convert to fraction form
    100,613.10/150,910.88 = 34,051.74/x
  3. Step 3: Cross multiply
    100,613.10x = 150,910.88 × 34,051.74
  4. Step 4: Simplify right side
    100,613.10x = 5,138,778,048.93
  5. Step 5: Solve for x
    x = 5,138,778,048.93/100,613.10
  6. Step 6: Final answer
    x = 51,074.64

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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.