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Finding the Fourth Proportional to 100,635.54, 150,967.95 and 34,053.06

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Solution

The fourth proportional to 100,635.54, 150,967.95 and 34,053.06 is: 51,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,635.54 : 150,967.95 = 34,053.06 : x
  2. Step 2: Convert to fraction form
    100,635.54/150,967.95 = 34,053.06/x
  3. Step 3: Cross multiply
    100,635.54x = 150,967.95 × 34,053.06
  4. Step 4: Simplify right side
    100,635.54x = 5,140,920,659.43
  5. Step 5: Solve for x
    x = 5,140,920,659.43/100,635.54
  6. Step 6: Final answer
    x = 51,084.54

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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.