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Finding the Fourth Proportional to 109,635, 164,478.50 and 35,763

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Solution

The fourth proportional to 109,635, 164,478.50 and 35,763 is: 53,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,635 : 164,478.50 = 35,763 : x
  2. Step 2: Convert to fraction form
    109,635/164,478.50 = 35,763/x
  3. Step 3: Cross multiply
    109,635x = 164,478.50 × 35,763
  4. Step 4: Simplify right side
    109,635x = 5,882,244,595.50
  5. Step 5: Solve for x
    x = 5,882,244,595.50/109,635
  6. Step 6: Final answer
    x = 53,652.98

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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.