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Finding the Fourth Proportional to 36,204.57, 49,881.77 and 27,088.88

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Solution

The fourth proportional to 36,204.57, 49,881.77 and 27,088.88 is: 37,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,204.57 : 49,881.77 = 27,088.88 : x
  2. Step 2: Convert to fraction form
    36,204.57/49,881.77 = 27,088.88/x
  3. Step 3: Cross multiply
    36,204.57x = 49,881.77 × 27,088.88
  4. Step 4: Simplify right side
    36,204.57x = 1,351,241,032.31
  5. Step 5: Solve for x
    x = 1,351,241,032.31/36,204.57
  6. Step 6: Final answer
    x = 37,322.39

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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.