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Finding the Fourth Proportional to 109,409.50, 164,114.30 and 34,537.23

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Solution

The fourth proportional to 109,409.50, 164,114.30 and 34,537.23 is: 51,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.50 : 164,114.30 = 34,537.23 : x
  2. Step 2: Convert to fraction form
    109,409.50/164,114.30 = 34,537.23/x
  3. Step 3: Cross multiply
    109,409.50x = 164,114.30 × 34,537.23
  4. Step 4: Simplify right side
    109,409.50x = 5,668,053,325.39
  5. Step 5: Solve for x
    x = 5,668,053,325.39/109,409.50
  6. Step 6: Final answer
    x = 51,805.86

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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.