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Finding the Fourth Proportional to 35,308.26, 48,736.32 and 22,733

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Solution

The fourth proportional to 35,308.26, 48,736.32 and 22,733 is: 31,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,308.26 : 48,736.32 = 22,733 : x
  2. Step 2: Convert to fraction form
    35,308.26/48,736.32 = 22,733/x
  3. Step 3: Cross multiply
    35,308.26x = 48,736.32 × 22,733
  4. Step 4: Simplify right side
    35,308.26x = 1,107,922,762.56
  5. Step 5: Solve for x
    x = 1,107,922,762.56/35,308.26
  6. Step 6: Final answer
    x = 31,378.57

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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.