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Finding the Fourth Proportional to 33,184.88, 49,785.72 and 9,811.32

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Solution

The fourth proportional to 33,184.88, 49,785.72 and 9,811.32 is: 14,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.88 : 49,785.72 = 9,811.32 : x
  2. Step 2: Convert to fraction form
    33,184.88/49,785.72 = 9,811.32/x
  3. Step 3: Cross multiply
    33,184.88x = 49,785.72 × 9,811.32
  4. Step 4: Simplify right side
    33,184.88x = 488,463,630.35
  5. Step 5: Solve for x
    x = 488,463,630.35/33,184.88
  6. Step 6: Final answer
    x = 14,719.46

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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.