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Finding the Fourth Proportional to 36,832.25, 50,827.16 and 22,516.06

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Solution

The fourth proportional to 36,832.25, 50,827.16 and 22,516.06 is: 31,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,832.25 : 50,827.16 = 22,516.06 : x
  2. Step 2: Convert to fraction form
    36,832.25/50,827.16 = 22,516.06/x
  3. Step 3: Cross multiply
    36,832.25x = 50,827.16 × 22,516.06
  4. Step 4: Simplify right side
    36,832.25x = 1,144,427,384.19
  5. Step 5: Solve for x
    x = 1,144,427,384.19/36,832.25
  6. Step 6: Final answer
    x = 31,071.34

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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.