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Finding the Fourth Proportional to 33,254.76, 49,878.09 and 9,883.02

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Solution

The fourth proportional to 33,254.76, 49,878.09 and 9,883.02 is: 14,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,254.76 : 49,878.09 = 9,883.02 : x
  2. Step 2: Convert to fraction form
    33,254.76/49,878.09 = 9,883.02/x
  3. Step 3: Cross multiply
    33,254.76x = 49,878.09 × 9,883.02
  4. Step 4: Simplify right side
    33,254.76x = 492,946,161.03
  5. Step 5: Solve for x
    x = 492,946,161.03/33,254.76
  6. Step 6: Final answer
    x = 14,823.33

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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.