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Finding the Fourth Proportional to 33,541, 46,286.76 and 18,637

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Solution

The fourth proportional to 33,541, 46,286.76 and 18,637 is: 25,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,541 : 46,286.76 = 18,637 : x
  2. Step 2: Convert to fraction form
    33,541/46,286.76 = 18,637/x
  3. Step 3: Cross multiply
    33,541x = 46,286.76 × 18,637
  4. Step 4: Simplify right side
    33,541x = 862,646,346.12
  5. Step 5: Solve for x
    x = 862,646,346.12/33,541
  6. Step 6: Final answer
    x = 25,719.16

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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.