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Finding the Fourth Proportional to 48,021, 66,268.74 and 26,799

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Solution

The fourth proportional to 48,021, 66,268.74 and 26,799 is: 36,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,021 : 66,268.74 = 26,799 : x
  2. Step 2: Convert to fraction form
    48,021/66,268.74 = 26,799/x
  3. Step 3: Cross multiply
    48,021x = 66,268.74 × 26,799
  4. Step 4: Simplify right side
    48,021x = 1,775,935,963.26
  5. Step 5: Solve for x
    x = 1,775,935,963.26/48,021
  6. Step 6: Final answer
    x = 36,982.49

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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.