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Finding the Fourth Proportional to 36,946.53, 55,419.39 and 9,244.53

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Solution

The fourth proportional to 36,946.53, 55,419.39 and 9,244.53 is: 13,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,946.53 : 55,419.39 = 9,244.53 : x
  2. Step 2: Convert to fraction form
    36,946.53/55,419.39 = 9,244.53/x
  3. Step 3: Cross multiply
    36,946.53x = 55,419.39 × 9,244.53
  4. Step 4: Simplify right side
    36,946.53x = 512,326,213.44
  5. Step 5: Solve for x
    x = 512,326,213.44/36,946.53
  6. Step 6: Final answer
    x = 13,866.69

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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.