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Finding the Fourth Proportional to 33,894, 46,773.72 and 20,646

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Solution

The fourth proportional to 33,894, 46,773.72 and 20,646 is: 28,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,894 : 46,773.72 = 20,646 : x
  2. Step 2: Convert to fraction form
    33,894/46,773.72 = 20,646/x
  3. Step 3: Cross multiply
    33,894x = 46,773.72 × 20,646
  4. Step 4: Simplify right side
    33,894x = 965,690,223.12
  5. Step 5: Solve for x
    x = 965,690,223.12/33,894
  6. Step 6: Final answer
    x = 28,491.48

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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.