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Finding the Fourth Proportional to 30,121.67, 45,164.27 and 13,478.60

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Solution

The fourth proportional to 30,121.67, 45,164.27 and 13,478.60 is: 20,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,121.67 : 45,164.27 = 13,478.60 : x
  2. Step 2: Convert to fraction form
    30,121.67/45,164.27 = 13,478.60/x
  3. Step 3: Cross multiply
    30,121.67x = 45,164.27 × 13,478.60
  4. Step 4: Simplify right side
    30,121.67x = 608,750,836.41
  5. Step 5: Solve for x
    x = 608,750,836.41/30,121.67
  6. Step 6: Final answer
    x = 20,209.73

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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.