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Finding the Fourth Proportional to 34,804.78, 48,029.88 and 19,697.17

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Solution

The fourth proportional to 34,804.78, 48,029.88 and 19,697.17 is: 27,181.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,804.78 : 48,029.88 = 19,697.17 : x
  2. Step 2: Convert to fraction form
    34,804.78/48,029.88 = 19,697.17/x
  3. Step 3: Cross multiply
    34,804.78x = 48,029.88 × 19,697.17
  4. Step 4: Simplify right side
    34,804.78x = 946,052,711.44
  5. Step 5: Solve for x
    x = 946,052,711.44/34,804.78
  6. Step 6: Final answer
    x = 27,181.69

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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.