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Finding the Fourth Proportional to 33,263.64, 45,911.34 and 22,657.50

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Solution

The fourth proportional to 33,263.64, 45,911.34 and 22,657.50 is: 31,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,263.64 : 45,911.34 = 22,657.50 : x
  2. Step 2: Convert to fraction form
    33,263.64/45,911.34 = 22,657.50/x
  3. Step 3: Cross multiply
    33,263.64x = 45,911.34 × 22,657.50
  4. Step 4: Simplify right side
    33,263.64x = 1,040,236,186.05
  5. Step 5: Solve for x
    x = 1,040,236,186.05/33,263.64
  6. Step 6: Final answer
    x = 31,272.47

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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.