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Finding the Fourth Proportional to 34,872, 48,129.84 and 19,968

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Solution

The fourth proportional to 34,872, 48,129.84 and 19,968 is: 27,559.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,872 : 48,129.84 = 19,968 : x
  2. Step 2: Convert to fraction form
    34,872/48,129.84 = 19,968/x
  3. Step 3: Cross multiply
    34,872x = 48,129.84 × 19,968
  4. Step 4: Simplify right side
    34,872x = 961,056,645.12
  5. Step 5: Solve for x
    x = 961,056,645.12/34,872
  6. Step 6: Final answer
    x = 27,559.55

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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.