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Finding the Fourth Proportional to 29,763.78, 41,047.32 and 22,228.38

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Solution

The fourth proportional to 29,763.78, 41,047.32 and 22,228.38 is: 30,655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,763.78 : 41,047.32 = 22,228.38 : x
  2. Step 2: Convert to fraction form
    29,763.78/41,047.32 = 22,228.38/x
  3. Step 3: Cross multiply
    29,763.78x = 41,047.32 × 22,228.38
  4. Step 4: Simplify right side
    29,763.78x = 912,415,426.94
  5. Step 5: Solve for x
    x = 912,415,426.94/29,763.78
  6. Step 6: Final answer
    x = 30,655.23

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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.