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Finding the Fourth Proportional to 34,717.54, 47,874.37 and 29,698.37

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Solution

The fourth proportional to 34,717.54, 47,874.37 and 29,698.37 is: 40,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,717.54 : 47,874.37 = 29,698.37 : x
  2. Step 2: Convert to fraction form
    34,717.54/47,874.37 = 29,698.37/x
  3. Step 3: Cross multiply
    34,717.54x = 47,874.37 × 29,698.37
  4. Step 4: Simplify right side
    34,717.54x = 1,421,790,605.29
  5. Step 5: Solve for x
    x = 1,421,790,605.29/34,717.54
  6. Step 6: Final answer
    x = 40,953.10

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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.