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Finding the Fourth Proportional to 33,958.22, 50,931.74 and 8,999.82

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Solution

The fourth proportional to 33,958.22, 50,931.74 and 8,999.82 is: 13,498.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,958.22 : 50,931.74 = 8,999.82 : x
  2. Step 2: Convert to fraction form
    33,958.22/50,931.74 = 8,999.82/x
  3. Step 3: Cross multiply
    33,958.22x = 50,931.74 × 8,999.82
  4. Step 4: Simplify right side
    33,958.22x = 458,376,492.29
  5. Step 5: Solve for x
    x = 458,376,492.29/33,958.22
  6. Step 6: Final answer
    x = 13,498.25

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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.