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Finding the Fourth Proportional to 24,845, 37,212.92 and 22,900.50

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Solution

The fourth proportional to 24,845, 37,212.92 and 22,900.50 is: 34,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,845 : 37,212.92 = 22,900.50 : x
  2. Step 2: Convert to fraction form
    24,845/37,212.92 = 22,900.50/x
  3. Step 3: Cross multiply
    24,845x = 37,212.92 × 22,900.50
  4. Step 4: Simplify right side
    24,845x = 852,194,474.46
  5. Step 5: Solve for x
    x = 852,194,474.46/24,845
  6. Step 6: Final answer
    x = 34,300.44

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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.