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Finding the Fourth Proportional to 34,857, 48,109.14 and 19,953

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Solution

The fourth proportional to 34,857, 48,109.14 and 19,953 is: 27,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,857 : 48,109.14 = 19,953 : x
  2. Step 2: Convert to fraction form
    34,857/48,109.14 = 19,953/x
  3. Step 3: Cross multiply
    34,857x = 48,109.14 × 19,953
  4. Step 4: Simplify right side
    34,857x = 959,921,670.42
  5. Step 5: Solve for x
    x = 959,921,670.42/34,857
  6. Step 6: Final answer
    x = 27,538.85

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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.