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Finding the Fourth Proportional to 36,493.64, 54,746.99 and 25,143.41

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Solution

The fourth proportional to 36,493.64, 54,746.99 and 25,143.41 is: 37,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,493.64 : 54,746.99 = 25,143.41 : x
  2. Step 2: Convert to fraction form
    36,493.64/54,746.99 = 25,143.41/x
  3. Step 3: Cross multiply
    36,493.64x = 54,746.99 × 25,143.41
  4. Step 4: Simplify right side
    36,493.64x = 1,376,526,121.27
  5. Step 5: Solve for x
    x = 1,376,526,121.27/36,493.64
  6. Step 6: Final answer
    x = 37,719.62

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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.