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Finding the Fourth Proportional to 33,208.41, 49,812.84 and 9,835.05

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Solution

The fourth proportional to 33,208.41, 49,812.84 and 9,835.05 is: 14,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.41 : 49,812.84 = 9,835.05 : x
  2. Step 2: Convert to fraction form
    33,208.41/49,812.84 = 9,835.05/x
  3. Step 3: Cross multiply
    33,208.41x = 49,812.84 × 9,835.05
  4. Step 4: Simplify right side
    33,208.41x = 489,911,772.04
  5. Step 5: Solve for x
    x = 489,911,772.04/33,208.41
  6. Step 6: Final answer
    x = 14,752.64

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1.5x scale

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.