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Finding the Fourth Proportional to 31,403.34, 43,291.80 and 22,447.58

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Solution

The fourth proportional to 31,403.34, 43,291.80 and 22,447.58 is: 30,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,403.34 : 43,291.80 = 22,447.58 : x
  2. Step 2: Convert to fraction form
    31,403.34/43,291.80 = 22,447.58/x
  3. Step 3: Cross multiply
    31,403.34x = 43,291.80 × 22,447.58
  4. Step 4: Simplify right side
    31,403.34x = 971,795,927.39
  5. Step 5: Solve for x
    x = 971,795,927.39/31,403.34
  6. Step 6: Final answer
    x = 30,945.62

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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.