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Finding the Fourth Proportional to 33,483.74, 50,242 and 13,492.40

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Solution

The fourth proportional to 33,483.74, 50,242 and 13,492.40 is: 20,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,483.74 : 50,242 = 13,492.40 : x
  2. Step 2: Convert to fraction form
    33,483.74/50,242 = 13,492.40/x
  3. Step 3: Cross multiply
    33,483.74x = 50,242 × 13,492.40
  4. Step 4: Simplify right side
    33,483.74x = 677,885,160.80
  5. Step 5: Solve for x
    x = 677,885,160.80/33,483.74
  6. Step 6: Final answer
    x = 20,245.20

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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.