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Finding the Fourth Proportional to 30,830.29, 42,546.65 and 18,726.68

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Solution

The fourth proportional to 30,830.29, 42,546.65 and 18,726.68 is: 25,843.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.29 : 42,546.65 = 18,726.68 : x
  2. Step 2: Convert to fraction form
    30,830.29/42,546.65 = 18,726.68/x
  3. Step 3: Cross multiply
    30,830.29x = 42,546.65 × 18,726.68
  4. Step 4: Simplify right side
    30,830.29x = 796,757,499.62
  5. Step 5: Solve for x
    x = 796,757,499.62/30,830.29
  6. Step 6: Final answer
    x = 25,843.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.