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Finding the Fourth Proportional to 30,223, 45,251.42 and 22,805.02

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Solution

The fourth proportional to 30,223, 45,251.42 and 22,805.02 is: 34,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223 : 45,251.42 = 22,805.02 : x
  2. Step 2: Convert to fraction form
    30,223/45,251.42 = 22,805.02/x
  3. Step 3: Cross multiply
    30,223x = 45,251.42 × 22,805.02
  4. Step 4: Simplify right side
    30,223x = 1,031,959,538.13
  5. Step 5: Solve for x
    x = 1,031,959,538.13/30,223
  6. Step 6: Final answer
    x = 34,144.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.