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Finding the Fourth Proportional to 34,649.80, 52,022.70 and 22,246.60

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Solution

The fourth proportional to 34,649.80, 52,022.70 and 22,246.60 is: 33,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,649.80 : 52,022.70 = 22,246.60 : x
  2. Step 2: Convert to fraction form
    34,649.80/52,022.70 = 22,246.60/x
  3. Step 3: Cross multiply
    34,649.80x = 52,022.70 × 22,246.60
  4. Step 4: Simplify right side
    34,649.80x = 1,157,328,197.82
  5. Step 5: Solve for x
    x = 1,157,328,197.82/34,649.80
  6. Step 6: Final answer
    x = 33,400.72

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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.