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Finding the Fourth Proportional to 27,506.72, 37,813.34 and 23,664.36

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Solution

The fourth proportional to 27,506.72, 37,813.34 and 23,664.36 is: 32,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,506.72 : 37,813.34 = 23,664.36 : x
  2. Step 2: Convert to fraction form
    27,506.72/37,813.34 = 23,664.36/x
  3. Step 3: Cross multiply
    27,506.72x = 37,813.34 × 23,664.36
  4. Step 4: Simplify right side
    27,506.72x = 894,828,490.56
  5. Step 5: Solve for x
    x = 894,828,490.56/27,506.72
  6. Step 6: Final answer
    x = 32,531.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.