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Finding the Fourth Proportional to 30,278.85, 41,784.52 and 16,849.88

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Solution

The fourth proportional to 30,278.85, 41,784.52 and 16,849.88 is: 23,252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278.85 : 41,784.52 = 16,849.88 : x
  2. Step 2: Convert to fraction form
    30,278.85/41,784.52 = 16,849.88/x
  3. Step 3: Cross multiply
    30,278.85x = 41,784.52 × 16,849.88
  4. Step 4: Simplify right side
    30,278.85x = 704,064,147.86
  5. Step 5: Solve for x
    x = 704,064,147.86/30,278.85
  6. Step 6: Final answer
    x = 23,252.67

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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.