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Finding the Fourth Proportional to 27,150, 37,456.50 and 17,074.32

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Solution

The fourth proportional to 27,150, 37,456.50 and 17,074.32 is: 23,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,150 : 37,456.50 = 17,074.32 : x
  2. Step 2: Convert to fraction form
    27,150/37,456.50 = 17,074.32/x
  3. Step 3: Cross multiply
    27,150x = 37,456.50 × 17,074.32
  4. Step 4: Simplify right side
    27,150x = 639,544,267.08
  5. Step 5: Solve for x
    x = 639,544,267.08/27,150
  6. Step 6: Final answer
    x = 23,555.96

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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.