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Finding the Fourth Proportional to 49,116.50, 67,709.12 and 39,049

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Solution

The fourth proportional to 49,116.50, 67,709.12 and 39,049 is: 53,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,116.50 : 67,709.12 = 39,049 : x
  2. Step 2: Convert to fraction form
    49,116.50/67,709.12 = 39,049/x
  3. Step 3: Cross multiply
    49,116.50x = 67,709.12 × 39,049
  4. Step 4: Simplify right side
    49,116.50x = 2,643,973,426.88
  5. Step 5: Solve for x
    x = 2,643,973,426.88/49,116.50
  6. Step 6: Final answer
    x = 53,830.66

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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.