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Finding the Fourth Proportional to 33,863.84, 46,716.54 and 21,931.10

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Solution

The fourth proportional to 33,863.84, 46,716.54 and 21,931.10 is: 30,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,863.84 : 46,716.54 = 21,931.10 : x
  2. Step 2: Convert to fraction form
    33,863.84/46,716.54 = 21,931.10/x
  3. Step 3: Cross multiply
    33,863.84x = 46,716.54 × 21,931.10
  4. Step 4: Simplify right side
    33,863.84x = 1,024,545,110.39
  5. Step 5: Solve for x
    x = 1,024,545,110.39/33,863.84
  6. Step 6: Final answer
    x = 30,254.84

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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.