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Finding the Fourth Proportional to 100,684.44, 150,819.30 and 59,031

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Solution

The fourth proportional to 100,684.44, 150,819.30 and 59,031 is: 88,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,684.44 : 150,819.30 = 59,031 : x
  2. Step 2: Convert to fraction form
    100,684.44/150,819.30 = 59,031/x
  3. Step 3: Cross multiply
    100,684.44x = 150,819.30 × 59,031
  4. Step 4: Simplify right side
    100,684.44x = 8,903,014,098.30
  5. Step 5: Solve for x
    x = 8,903,014,098.30/100,684.44
  6. Step 6: Final answer
    x = 88,424.93

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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.