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Finding the Fourth Proportional to 57,293.70, 85,971.88 and 22,234.74

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Solution

The fourth proportional to 57,293.70, 85,971.88 and 22,234.74 is: 33,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,293.70 : 85,971.88 = 22,234.74 : x
  2. Step 2: Convert to fraction form
    57,293.70/85,971.88 = 22,234.74/x
  3. Step 3: Cross multiply
    57,293.70x = 85,971.88 × 22,234.74
  4. Step 4: Simplify right side
    57,293.70x = 1,911,562,399.11
  5. Step 5: Solve for x
    x = 1,911,562,399.11/57,293.70
  6. Step 6: Final answer
    x = 33,364.27

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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.