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Finding the Fourth Proportional to 23,157.60, 34,735.94 and 22,542.50

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Solution

The fourth proportional to 23,157.60, 34,735.94 and 22,542.50 is: 33,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.60 : 34,735.94 = 22,542.50 : x
  2. Step 2: Convert to fraction form
    23,157.60/34,735.94 = 22,542.50/x
  3. Step 3: Cross multiply
    23,157.60x = 34,735.94 × 22,542.50
  4. Step 4: Simplify right side
    23,157.60x = 783,034,986.11
  5. Step 5: Solve for x
    x = 783,034,986.11/23,157.60
  6. Step 6: Final answer
    x = 33,813.31

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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.