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Finding the Fourth Proportional to 57,323.76, 85,934.34 and 22,255.08

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Solution

The fourth proportional to 57,323.76, 85,934.34 and 22,255.08 is: 33,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,323.76 : 85,934.34 = 22,255.08 : x
  2. Step 2: Convert to fraction form
    57,323.76/85,934.34 = 22,255.08/x
  3. Step 3: Cross multiply
    57,323.76x = 85,934.34 × 22,255.08
  4. Step 4: Simplify right side
    57,323.76x = 1,912,475,611.45
  5. Step 5: Solve for x
    x = 1,912,475,611.45/57,323.76
  6. Step 6: Final answer
    x = 33,362.70

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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.