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Finding the Fourth Proportional to 33,235.24, 49,860.06 and 9,861

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Solution

The fourth proportional to 33,235.24, 49,860.06 and 9,861 is: 14,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,235.24 : 49,860.06 = 9,861 : x
  2. Step 2: Convert to fraction form
    33,235.24/49,860.06 = 9,861/x
  3. Step 3: Cross multiply
    33,235.24x = 49,860.06 × 9,861
  4. Step 4: Simplify right side
    33,235.24x = 491,670,051.66
  5. Step 5: Solve for x
    x = 491,670,051.66/33,235.24
  6. Step 6: Final answer
    x = 14,793.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.