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Finding the Fourth Proportional to 34,181.47, 47,174.74 and 19,838.23

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Solution

The fourth proportional to 34,181.47, 47,174.74 and 19,838.23 is: 27,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,181.47 : 47,174.74 = 19,838.23 : x
  2. Step 2: Convert to fraction form
    34,181.47/47,174.74 = 19,838.23/x
  3. Step 3: Cross multiply
    34,181.47x = 47,174.74 × 19,838.23
  4. Step 4: Simplify right side
    34,181.47x = 935,863,342.31
  5. Step 5: Solve for x
    x = 935,863,342.31/34,181.47
  6. Step 6: Final answer
    x = 27,379.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.