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Finding the Fourth Proportional to 44,325.76, 61,175.20 and 25,213

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Solution

The fourth proportional to 44,325.76, 61,175.20 and 25,213 is: 34,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,325.76 : 61,175.20 = 25,213 : x
  2. Step 2: Convert to fraction form
    44,325.76/61,175.20 = 25,213/x
  3. Step 3: Cross multiply
    44,325.76x = 61,175.20 × 25,213
  4. Step 4: Simplify right side
    44,325.76x = 1,542,410,317.60
  5. Step 5: Solve for x
    x = 1,542,410,317.60/44,325.76
  6. Step 6: Final answer
    x = 34,797.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.