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Finding the Fourth Proportional to 30,138.60, 45,176.70 and 13,506.60

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Solution

The fourth proportional to 30,138.60, 45,176.70 and 13,506.60 is: 20,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.60 : 45,176.70 = 13,506.60 : x
  2. Step 2: Convert to fraction form
    30,138.60/45,176.70 = 13,506.60/x
  3. Step 3: Cross multiply
    30,138.60x = 45,176.70 × 13,506.60
  4. Step 4: Simplify right side
    30,138.60x = 610,183,616.22
  5. Step 5: Solve for x
    x = 610,183,616.22/30,138.60
  6. Step 6: Final answer
    x = 20,245.92

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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.