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Finding the Fourth Proportional to 33,203.20, 49,814.54 and 9,830.24

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Solution

The fourth proportional to 33,203.20, 49,814.54 and 9,830.24 is: 14,748.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,203.20 : 49,814.54 = 9,830.24 : x
  2. Step 2: Convert to fraction form
    33,203.20/49,814.54 = 9,830.24/x
  3. Step 3: Cross multiply
    33,203.20x = 49,814.54 × 9,830.24
  4. Step 4: Simplify right side
    33,203.20x = 489,688,883.69
  5. Step 5: Solve for x
    x = 489,688,883.69/33,203.20
  6. Step 6: Final answer
    x = 14,748.24

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