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Finding the Fourth Proportional to 33,894.16, 46,758.12 and 21,325.84

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Solution

The fourth proportional to 33,894.16, 46,758.12 and 21,325.84 is: 29,419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,894.16 : 46,758.12 = 21,325.84 : x
  2. Step 2: Convert to fraction form
    33,894.16/46,758.12 = 21,325.84/x
  3. Step 3: Cross multiply
    33,894.16x = 46,758.12 × 21,325.84
  4. Step 4: Simplify right side
    33,894.16x = 997,156,185.82
  5. Step 5: Solve for x
    x = 997,156,185.82/33,894.16
  6. Step 6: Final answer
    x = 29,419.70

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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.