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Finding the Fourth Proportional to 33,538, 46,282.62 and 18,634

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Solution

The fourth proportional to 33,538, 46,282.62 and 18,634 is: 25,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538 : 46,282.62 = 18,634 : x
  2. Step 2: Convert to fraction form
    33,538/46,282.62 = 18,634/x
  3. Step 3: Cross multiply
    33,538x = 46,282.62 × 18,634
  4. Step 4: Simplify right side
    33,538x = 862,430,341.08
  5. Step 5: Solve for x
    x = 862,430,341.08/33,538
  6. Step 6: Final answer
    x = 25,715.02

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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.