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Finding the Fourth Proportional to 30,019.76, 41,399.60 and 27,635

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Solution

The fourth proportional to 30,019.76, 41,399.60 and 27,635 is: 38,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,019.76 : 41,399.60 = 27,635 : x
  2. Step 2: Convert to fraction form
    30,019.76/41,399.60 = 27,635/x
  3. Step 3: Cross multiply
    30,019.76x = 41,399.60 × 27,635
  4. Step 4: Simplify right side
    30,019.76x = 1,144,077,946
  5. Step 5: Solve for x
    x = 1,144,077,946/30,019.76
  6. Step 6: Final answer
    x = 38,110.83

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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.