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Finding the Fourth Proportional to 33,678.34, 46,496.02 and 29,942

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Solution

The fourth proportional to 33,678.34, 46,496.02 and 29,942 is: 41,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,678.34 : 46,496.02 = 29,942 : x
  2. Step 2: Convert to fraction form
    33,678.34/46,496.02 = 29,942/x
  3. Step 3: Cross multiply
    33,678.34x = 46,496.02 × 29,942
  4. Step 4: Simplify right side
    33,678.34x = 1,392,183,830.84
  5. Step 5: Solve for x
    x = 1,392,183,830.84/33,678.34
  6. Step 6: Final answer
    x = 41,337.66

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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.