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Finding the Fourth Proportional to 36,896.53, 50,916.97 and 20,980.98

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Solution

The fourth proportional to 36,896.53, 50,916.97 and 20,980.98 is: 28,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,896.53 : 50,916.97 = 20,980.98 : x
  2. Step 2: Convert to fraction form
    36,896.53/50,916.97 = 20,980.98/x
  3. Step 3: Cross multiply
    36,896.53x = 50,916.97 × 20,980.98
  4. Step 4: Simplify right side
    36,896.53x = 1,068,287,929.23
  5. Step 5: Solve for x
    x = 1,068,287,929.23/36,896.53
  6. Step 6: Final answer
    x = 28,953.62

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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.