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Finding the Fourth Proportional to 33,977.60, 46,894.64 and 19,830.41

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Solution

The fourth proportional to 33,977.60, 46,894.64 and 19,830.41 is: 27,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,977.60 : 46,894.64 = 19,830.41 : x
  2. Step 2: Convert to fraction form
    33,977.60/46,894.64 = 19,830.41/x
  3. Step 3: Cross multiply
    33,977.60x = 46,894.64 × 19,830.41
  4. Step 4: Simplify right side
    33,977.60x = 929,939,604.38
  5. Step 5: Solve for x
    x = 929,939,604.38/33,977.60
  6. Step 6: Final answer
    x = 27,369.20

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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.