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Finding the Fourth Proportional to 109,889.41, 164,846.13 and 34,991.95

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Solution

The fourth proportional to 109,889.41, 164,846.13 and 34,991.95 is: 52,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,889.41 : 164,846.13 = 34,991.95 : x
  2. Step 2: Convert to fraction form
    109,889.41/164,846.13 = 34,991.95/x
  3. Step 3: Cross multiply
    109,889.41x = 164,846.13 × 34,991.95
  4. Step 4: Simplify right side
    109,889.41x = 5,768,287,538.65
  5. Step 5: Solve for x
    x = 5,768,287,538.65/109,889.41
  6. Step 6: Final answer
    x = 52,491.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.