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Finding the Fourth Proportional to 38,142.39, 52,635.57 and 21,146.31

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Solution

The fourth proportional to 38,142.39, 52,635.57 and 21,146.31 is: 29,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,142.39 : 52,635.57 = 21,146.31 : x
  2. Step 2: Convert to fraction form
    38,142.39/52,635.57 = 21,146.31/x
  3. Step 3: Cross multiply
    38,142.39x = 52,635.57 × 21,146.31
  4. Step 4: Simplify right side
    38,142.39x = 1,113,048,080.25
  5. Step 5: Solve for x
    x = 1,113,048,080.25/38,142.39
  6. Step 6: Final answer
    x = 29,181.39

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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.