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Finding the Fourth Proportional to 33,167.97, 49,752 and 9,810.81

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Solution

The fourth proportional to 33,167.97, 49,752 and 9,810.81 is: 14,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,167.97 : 49,752 = 9,810.81 : x
  2. Step 2: Convert to fraction form
    33,167.97/49,752 = 9,810.81/x
  3. Step 3: Cross multiply
    33,167.97x = 49,752 × 9,810.81
  4. Step 4: Simplify right side
    33,167.97x = 488,107,419.12
  5. Step 5: Solve for x
    x = 488,107,419.12/33,167.97
  6. Step 6: Final answer
    x = 14,716.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.