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Finding the Fourth Proportional to 34,616, 47,771.04 and 19,508.48

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Solution

The fourth proportional to 34,616, 47,771.04 and 19,508.48 is: 26,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616 : 47,771.04 = 19,508.48 : x
  2. Step 2: Convert to fraction form
    34,616/47,771.04 = 19,508.48/x
  3. Step 3: Cross multiply
    34,616x = 47,771.04 × 19,508.48
  4. Step 4: Simplify right side
    34,616x = 931,940,378.42
  5. Step 5: Solve for x
    x = 931,940,378.42/34,616
  6. Step 6: Final answer
    x = 26,922.24

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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.