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Finding the Fourth Proportional to 30,684.33, 46,021.35 and 8,499.94

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Solution

The fourth proportional to 30,684.33, 46,021.35 and 8,499.94 is: 12,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684.33 : 46,021.35 = 8,499.94 : x
  2. Step 2: Convert to fraction form
    30,684.33/46,021.35 = 8,499.94/x
  3. Step 3: Cross multiply
    30,684.33x = 46,021.35 × 8,499.94
  4. Step 4: Simplify right side
    30,684.33x = 391,178,713.72
  5. Step 5: Solve for x
    x = 391,178,713.72/30,684.33
  6. Step 6: Final answer
    x = 12,748.48

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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.