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Finding the Fourth Proportional to 27,301.76, 37,667 and 16,550.08

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Solution

The fourth proportional to 27,301.76, 37,667 and 16,550.08 is: 22,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,301.76 : 37,667 = 16,550.08 : x
  2. Step 2: Convert to fraction form
    27,301.76/37,667 = 16,550.08/x
  3. Step 3: Cross multiply
    27,301.76x = 37,667 × 16,550.08
  4. Step 4: Simplify right side
    27,301.76x = 623,391,863.36
  5. Step 5: Solve for x
    x = 623,391,863.36/27,301.76
  6. Step 6: Final answer
    x = 22,833.39

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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.