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Finding the Fourth Proportional to 30,935.95, 46,403.88 and 11,214.46

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Solution

The fourth proportional to 30,935.95, 46,403.88 and 11,214.46 is: 16,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,935.95 : 46,403.88 = 11,214.46 : x
  2. Step 2: Convert to fraction form
    30,935.95/46,403.88 = 11,214.46/x
  3. Step 3: Cross multiply
    30,935.95x = 46,403.88 × 11,214.46
  4. Step 4: Simplify right side
    30,935.95x = 520,394,456.10
  5. Step 5: Solve for x
    x = 520,394,456.10/30,935.95
  6. Step 6: Final answer
    x = 16,821.67

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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.