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Finding the Fourth Proportional to 32,902.20, 49,353.30 and 13,194.90

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Solution

The fourth proportional to 32,902.20, 49,353.30 and 13,194.90 is: 19,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.20 : 49,353.30 = 13,194.90 : x
  2. Step 2: Convert to fraction form
    32,902.20/49,353.30 = 13,194.90/x
  3. Step 3: Cross multiply
    32,902.20x = 49,353.30 × 13,194.90
  4. Step 4: Simplify right side
    32,902.20x = 651,211,858.17
  5. Step 5: Solve for x
    x = 651,211,858.17/32,902.20
  6. Step 6: Final answer
    x = 19,792.35

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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.