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Finding the Fourth Proportional to 100,657.44, 150,959.52 and 30,537.36

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Solution

The fourth proportional to 100,657.44, 150,959.52 and 30,537.36 is: 45,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,657.44 : 150,959.52 = 30,537.36 : x
  2. Step 2: Convert to fraction form
    100,657.44/150,959.52 = 30,537.36/x
  3. Step 3: Cross multiply
    100,657.44x = 150,959.52 × 30,537.36
  4. Step 4: Simplify right side
    100,657.44x = 4,609,905,207.67
  5. Step 5: Solve for x
    x = 4,609,905,207.67/100,657.44
  6. Step 6: Final answer
    x = 45,797.96

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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.