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Finding the Fourth Proportional to 33,102.40, 49,621.20 and 13,354.60

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Solution

The fourth proportional to 33,102.40, 49,621.20 and 13,354.60 is: 20,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.40 : 49,621.20 = 13,354.60 : x
  2. Step 2: Convert to fraction form
    33,102.40/49,621.20 = 13,354.60/x
  3. Step 3: Cross multiply
    33,102.40x = 49,621.20 × 13,354.60
  4. Step 4: Simplify right side
    33,102.40x = 662,671,277.52
  5. Step 5: Solve for x
    x = 662,671,277.52/33,102.40
  6. Step 6: Final answer
    x = 20,018.83

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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.