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Finding the Fourth Proportional to 34,394.89, 47,447.47 and 22,465.21

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Solution

The fourth proportional to 34,394.89, 47,447.47 and 22,465.21 is: 30,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,394.89 : 47,447.47 = 22,465.21 : x
  2. Step 2: Convert to fraction form
    34,394.89/47,447.47 = 22,465.21/x
  3. Step 3: Cross multiply
    34,394.89x = 47,447.47 × 22,465.21
  4. Step 4: Simplify right side
    34,394.89x = 1,065,917,027.96
  5. Step 5: Solve for x
    x = 1,065,917,027.96/34,394.89
  6. Step 6: Final answer
    x = 30,990.57

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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.