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Finding the Fourth Proportional to 33,760.92, 46,587.68 and 18,653.42

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Solution

The fourth proportional to 33,760.92, 46,587.68 and 18,653.42 is: 25,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,760.92 : 46,587.68 = 18,653.42 : x
  2. Step 2: Convert to fraction form
    33,760.92/46,587.68 = 18,653.42/x
  3. Step 3: Cross multiply
    33,760.92x = 46,587.68 × 18,653.42
  4. Step 4: Simplify right side
    33,760.92x = 869,019,235.66
  5. Step 5: Solve for x
    x = 869,019,235.66/33,760.92
  6. Step 6: Final answer
    x = 25,740.39

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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.