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Finding the Fourth Proportional to 57,335.76, 85,970.22 and 22,234.44

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Solution

The fourth proportional to 57,335.76, 85,970.22 and 22,234.44 is: 33,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,335.76 : 85,970.22 = 22,234.44 : x
  2. Step 2: Convert to fraction form
    57,335.76/85,970.22 = 22,234.44/x
  3. Step 3: Cross multiply
    57,335.76x = 85,970.22 × 22,234.44
  4. Step 4: Simplify right side
    57,335.76x = 1,911,499,698.38
  5. Step 5: Solve for x
    x = 1,911,499,698.38/57,335.76
  6. Step 6: Final answer
    x = 33,338.70

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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.