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Finding the Fourth Proportional to 30,291.25, 45,433.26 and 8,106.34

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Solution

The fourth proportional to 30,291.25, 45,433.26 and 8,106.34 is: 12,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.25 : 45,433.26 = 8,106.34 : x
  2. Step 2: Convert to fraction form
    30,291.25/45,433.26 = 8,106.34/x
  3. Step 3: Cross multiply
    30,291.25x = 45,433.26 × 8,106.34
  4. Step 4: Simplify right side
    30,291.25x = 368,297,452.87
  5. Step 5: Solve for x
    x = 368,297,452.87/30,291.25
  6. Step 6: Final answer
    x = 12,158.54

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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.