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Finding the Fourth Proportional to 32,690.36, 49,030.68 and 11,909

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Solution

The fourth proportional to 32,690.36, 49,030.68 and 11,909 is: 17,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,690.36 : 49,030.68 = 11,909 : x
  2. Step 2: Convert to fraction form
    32,690.36/49,030.68 = 11,909/x
  3. Step 3: Cross multiply
    32,690.36x = 49,030.68 × 11,909
  4. Step 4: Simplify right side
    32,690.36x = 583,906,368.12
  5. Step 5: Solve for x
    x = 583,906,368.12/32,690.36
  6. Step 6: Final answer
    x = 17,861.73

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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.