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Finding the Fourth Proportional to 33,219.86, 49,835.93 and 9,526.41

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Solution

The fourth proportional to 33,219.86, 49,835.93 and 9,526.41 is: 14,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,219.86 : 49,835.93 = 9,526.41 : x
  2. Step 2: Convert to fraction form
    33,219.86/49,835.93 = 9,526.41/x
  3. Step 3: Cross multiply
    33,219.86x = 49,835.93 × 9,526.41
  4. Step 4: Simplify right side
    33,219.86x = 474,757,454.28
  5. Step 5: Solve for x
    x = 474,757,454.28/33,219.86
  6. Step 6: Final answer
    x = 14,291.38

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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.