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Finding the Fourth Proportional to 100,537.94, 150,806.82 and 25,658.08

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Solution

The fourth proportional to 100,537.94, 150,806.82 and 25,658.08 is: 38,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,537.94 : 150,806.82 = 25,658.08 : x
  2. Step 2: Convert to fraction form
    100,537.94/150,806.82 = 25,658.08/x
  3. Step 3: Cross multiply
    100,537.94x = 150,806.82 × 25,658.08
  4. Step 4: Simplify right side
    100,537.94x = 3,869,413,233.49
  5. Step 5: Solve for x
    x = 3,869,413,233.49/100,537.94
  6. Step 6: Final answer
    x = 38,487.10

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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.