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Finding the Fourth Proportional to 37,834.08, 52,209 and 21,066

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Solution

The fourth proportional to 37,834.08, 52,209 and 21,066 is: 29,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,834.08 : 52,209 = 21,066 : x
  2. Step 2: Convert to fraction form
    37,834.08/52,209 = 21,066/x
  3. Step 3: Cross multiply
    37,834.08x = 52,209 × 21,066
  4. Step 4: Simplify right side
    37,834.08x = 1,099,834,794
  5. Step 5: Solve for x
    x = 1,099,834,794/37,834.08
  6. Step 6: Final answer
    x = 29,069.95

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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.