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Finding the Fourth Proportional to 38,578.62, 53,222.82 and 25,145.16

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Solution

The fourth proportional to 38,578.62, 53,222.82 and 25,145.16 is: 34,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.62 : 53,222.82 = 25,145.16 : x
  2. Step 2: Convert to fraction form
    38,578.62/53,222.82 = 25,145.16/x
  3. Step 3: Cross multiply
    38,578.62x = 53,222.82 × 25,145.16
  4. Step 4: Simplify right side
    38,578.62x = 1,338,296,324.55
  5. Step 5: Solve for x
    x = 1,338,296,324.55/38,578.62
  6. Step 6: Final answer
    x = 34,690.10

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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.