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Finding the Fourth Proportional to 30,146.42, 41,604.69 and 17,570.90

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Solution

The fourth proportional to 30,146.42, 41,604.69 and 17,570.90 is: 24,249.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.42 : 41,604.69 = 17,570.90 : x
  2. Step 2: Convert to fraction form
    30,146.42/41,604.69 = 17,570.90/x
  3. Step 3: Cross multiply
    30,146.42x = 41,604.69 × 17,570.90
  4. Step 4: Simplify right side
    30,146.42x = 731,031,847.52
  5. Step 5: Solve for x
    x = 731,031,847.52/30,146.42
  6. Step 6: Final answer
    x = 24,249.38

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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.