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Finding the Fourth Proportional to 38,198.68, 52,714.36 and 21,203.16

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Solution

The fourth proportional to 38,198.68, 52,714.36 and 21,203.16 is: 29,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,198.68 : 52,714.36 = 21,203.16 : x
  2. Step 2: Convert to fraction form
    38,198.68/52,714.36 = 21,203.16/x
  3. Step 3: Cross multiply
    38,198.68x = 52,714.36 × 21,203.16
  4. Step 4: Simplify right side
    38,198.68x = 1,117,711,009.38
  5. Step 5: Solve for x
    x = 1,117,711,009.38/38,198.68
  6. Step 6: Final answer
    x = 29,260.46

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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.