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Finding the Fourth Proportional to 35,021.22, 48,320.67 and 22,462.98

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Solution

The fourth proportional to 35,021.22, 48,320.67 and 22,462.98 is: 30,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,021.22 : 48,320.67 = 22,462.98 : x
  2. Step 2: Convert to fraction form
    35,021.22/48,320.67 = 22,462.98/x
  3. Step 3: Cross multiply
    35,021.22x = 48,320.67 × 22,462.98
  4. Step 4: Simplify right side
    35,021.22x = 1,085,426,243.80
  5. Step 5: Solve for x
    x = 1,085,426,243.80/35,021.22
  6. Step 6: Final answer
    x = 30,993.39

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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.