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Finding the Fourth Proportional to 33,258.14, 45,903.75 and 22,652

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Solution

The fourth proportional to 33,258.14, 45,903.75 and 22,652 is: 31,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,258.14 : 45,903.75 = 22,652 : x
  2. Step 2: Convert to fraction form
    33,258.14/45,903.75 = 22,652/x
  3. Step 3: Cross multiply
    33,258.14x = 45,903.75 × 22,652
  4. Step 4: Simplify right side
    33,258.14x = 1,039,811,745
  5. Step 5: Solve for x
    x = 1,039,811,745/33,258.14
  6. Step 6: Final answer
    x = 31,264.88

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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.