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Finding the Fourth Proportional to 25,129.65, 37,692.65 and 10,137.75

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Solution

The fourth proportional to 25,129.65, 37,692.65 and 10,137.75 is: 15,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,129.65 : 37,692.65 = 10,137.75 : x
  2. Step 2: Convert to fraction form
    25,129.65/37,692.65 = 10,137.75/x
  3. Step 3: Cross multiply
    25,129.65x = 37,692.65 × 10,137.75
  4. Step 4: Simplify right side
    25,129.65x = 382,118,611.85
  5. Step 5: Solve for x
    x = 382,118,611.85/25,129.65
  6. Step 6: Final answer
    x = 15,205.89

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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.