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Finding the Fourth Proportional to 33,902.88, 46,740.96 and 27,830.88

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Solution

The fourth proportional to 33,902.88, 46,740.96 and 27,830.88 is: 38,369.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,902.88 : 46,740.96 = 27,830.88 : x
  2. Step 2: Convert to fraction form
    33,902.88/46,740.96 = 27,830.88/x
  3. Step 3: Cross multiply
    33,902.88x = 46,740.96 × 27,830.88
  4. Step 4: Simplify right side
    33,902.88x = 1,300,842,048.84
  5. Step 5: Solve for x
    x = 1,300,842,048.84/33,902.88
  6. Step 6: Final answer
    x = 38,369.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.