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Finding the Fourth Proportional to 38,128.38, 52,599.42 and 22,203.24

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Solution

The fourth proportional to 38,128.38, 52,599.42 and 22,203.24 is: 30,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,128.38 : 52,599.42 = 22,203.24 : x
  2. Step 2: Convert to fraction form
    38,128.38/52,599.42 = 22,203.24/x
  3. Step 3: Cross multiply
    38,128.38x = 52,599.42 × 22,203.24
  4. Step 4: Simplify right side
    38,128.38x = 1,167,877,546.12
  5. Step 5: Solve for x
    x = 1,167,877,546.12/38,128.38
  6. Step 6: Final answer
    x = 30,630.14

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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.