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Finding the Fourth Proportional to 41,362.92, 57,080.88 and 22,500

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Solution

The fourth proportional to 41,362.92, 57,080.88 and 22,500 is: 31,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,362.92 : 57,080.88 = 22,500 : x
  2. Step 2: Convert to fraction form
    41,362.92/57,080.88 = 22,500/x
  3. Step 3: Cross multiply
    41,362.92x = 57,080.88 × 22,500
  4. Step 4: Simplify right side
    41,362.92x = 1,284,319,800
  5. Step 5: Solve for x
    x = 1,284,319,800/41,362.92
  6. Step 6: Final answer
    x = 31,050.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.