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Finding the Fourth Proportional to 36,298.90, 50,104.74 and 22,892.50

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Solution

The fourth proportional to 36,298.90, 50,104.74 and 22,892.50 is: 31,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,298.90 : 50,104.74 = 22,892.50 : x
  2. Step 2: Convert to fraction form
    36,298.90/50,104.74 = 22,892.50/x
  3. Step 3: Cross multiply
    36,298.90x = 50,104.74 × 22,892.50
  4. Step 4: Simplify right side
    36,298.90x = 1,147,022,760.45
  5. Step 5: Solve for x
    x = 1,147,022,760.45/36,298.90
  6. Step 6: Final answer
    x = 31,599.38

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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.