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Finding the Fourth Proportional to 40,803.92, 56,311.56 and 22,898

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Solution

The fourth proportional to 40,803.92, 56,311.56 and 22,898 is: 31,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,803.92 : 56,311.56 = 22,898 : x
  2. Step 2: Convert to fraction form
    40,803.92/56,311.56 = 22,898/x
  3. Step 3: Cross multiply
    40,803.92x = 56,311.56 × 22,898
  4. Step 4: Simplify right side
    40,803.92x = 1,289,422,100.88
  5. Step 5: Solve for x
    x = 1,289,422,100.88/40,803.92
  6. Step 6: Final answer
    x = 31,600.45

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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.