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Finding the Fourth Proportional to 56,866, 85,295.41 and 22,208.55

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Solution

The fourth proportional to 56,866, 85,295.41 and 22,208.55 is: 33,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,866 : 85,295.41 = 22,208.55 : x
  2. Step 2: Convert to fraction form
    56,866/85,295.41 = 22,208.55/x
  3. Step 3: Cross multiply
    56,866x = 85,295.41 × 22,208.55
  4. Step 4: Simplify right side
    56,866x = 1,894,287,377.76
  5. Step 5: Solve for x
    x = 1,894,287,377.76/56,866
  6. Step 6: Final answer
    x = 33,311.42

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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.