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Finding the Fourth Proportional to 27,347.94, 37,718.37 and 20,634.66

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Solution

The fourth proportional to 27,347.94, 37,718.37 and 20,634.66 is: 28,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,347.94 : 37,718.37 = 20,634.66 : x
  2. Step 2: Convert to fraction form
    27,347.94/37,718.37 = 20,634.66/x
  3. Step 3: Cross multiply
    27,347.94x = 37,718.37 × 20,634.66
  4. Step 4: Simplify right side
    27,347.94x = 778,305,740.70
  5. Step 5: Solve for x
    x = 778,305,740.70/27,347.94
  6. Step 6: Final answer
    x = 28,459.39

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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.