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Finding the Fourth Proportional to 30,297.40, 45,446.73 and 8,110.75

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Solution

The fourth proportional to 30,297.40, 45,446.73 and 8,110.75 is: 12,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.40 : 45,446.73 = 8,110.75 : x
  2. Step 2: Convert to fraction form
    30,297.40/45,446.73 = 8,110.75/x
  3. Step 3: Cross multiply
    30,297.40x = 45,446.73 × 8,110.75
  4. Step 4: Simplify right side
    30,297.40x = 368,607,065.35
  5. Step 5: Solve for x
    x = 368,607,065.35/30,297.40
  6. Step 6: Final answer
    x = 12,166.29

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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.