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Finding the Fourth Proportional to 100,893.92, 151,339.50 and 34,380.41

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Solution

The fourth proportional to 100,893.92, 151,339.50 and 34,380.41 is: 51,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,893.92 : 151,339.50 = 34,380.41 : x
  2. Step 2: Convert to fraction form
    100,893.92/151,339.50 = 34,380.41/x
  3. Step 3: Cross multiply
    100,893.92x = 151,339.50 × 34,380.41
  4. Step 4: Simplify right side
    100,893.92x = 5,203,113,302.50
  5. Step 5: Solve for x
    x = 5,203,113,302.50/100,893.92
  6. Step 6: Final answer
    x = 51,570.14

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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.