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Finding the Fourth Proportional to 22,796, 31,475.76 and 22,047.20

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Solution

The fourth proportional to 22,796, 31,475.76 and 22,047.20 is: 30,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796 : 31,475.76 = 22,047.20 : x
  2. Step 2: Convert to fraction form
    22,796/31,475.76 = 22,047.20/x
  3. Step 3: Cross multiply
    22,796x = 31,475.76 × 22,047.20
  4. Step 4: Simplify right side
    22,796x = 693,952,375.87
  5. Step 5: Solve for x
    x = 693,952,375.87/22,796
  6. Step 6: Final answer
    x = 30,441.85

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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.