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Finding the Fourth Proportional to 30,078.75, 41,508.08 and 16,650

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Solution

The fourth proportional to 30,078.75, 41,508.08 and 16,650 is: 22,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.75 : 41,508.08 = 16,650 : x
  2. Step 2: Convert to fraction form
    30,078.75/41,508.08 = 16,650/x
  3. Step 3: Cross multiply
    30,078.75x = 41,508.08 × 16,650
  4. Step 4: Simplify right side
    30,078.75x = 691,109,448.75
  5. Step 5: Solve for x
    x = 691,109,448.75/30,078.75
  6. Step 6: Final answer
    x = 22,976.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.