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Finding the Fourth Proportional to 38,185.82, 52,695.58 and 21,189.84

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Solution

The fourth proportional to 38,185.82, 52,695.58 and 21,189.84 is: 29,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,185.82 : 52,695.58 = 21,189.84 : x
  2. Step 2: Convert to fraction form
    38,185.82/52,695.58 = 21,189.84/x
  3. Step 3: Cross multiply
    38,185.82x = 52,695.58 × 21,189.84
  4. Step 4: Simplify right side
    38,185.82x = 1,116,610,908.91
  5. Step 5: Solve for x
    x = 1,116,610,908.91/38,185.82
  6. Step 6: Final answer
    x = 29,241.51

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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.