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Finding the Fourth Proportional to 33,223.04, 45,847.84 and 21,286.40

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Solution

The fourth proportional to 33,223.04, 45,847.84 and 21,286.40 is: 29,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.04 : 45,847.84 = 21,286.40 : x
  2. Step 2: Convert to fraction form
    33,223.04/45,847.84 = 21,286.40/x
  3. Step 3: Cross multiply
    33,223.04x = 45,847.84 × 21,286.40
  4. Step 4: Simplify right side
    33,223.04x = 975,935,461.38
  5. Step 5: Solve for x
    x = 975,935,461.38/33,223.04
  6. Step 6: Final answer
    x = 29,375.26

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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.