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Finding the Fourth Proportional to 27,102.97, 37,403.25 and 16,756.97

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Solution

The fourth proportional to 27,102.97, 37,403.25 and 16,756.97 is: 23,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.97 : 37,403.25 = 16,756.97 : x
  2. Step 2: Convert to fraction form
    27,102.97/37,403.25 = 16,756.97/x
  3. Step 3: Cross multiply
    27,102.97x = 37,403.25 × 16,756.97
  4. Step 4: Simplify right side
    27,102.97x = 626,765,138.15
  5. Step 5: Solve for x
    x = 626,765,138.15/27,102.97
  6. Step 6: Final answer
    x = 23,125.33

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1.5x scale

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.