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Finding the Fourth Proportional to 34,601.41, 47,750.34 and 20,258.11

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Solution

The fourth proportional to 34,601.41, 47,750.34 and 20,258.11 is: 27,956.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,601.41 : 47,750.34 = 20,258.11 : x
  2. Step 2: Convert to fraction form
    34,601.41/47,750.34 = 20,258.11/x
  3. Step 3: Cross multiply
    34,601.41x = 47,750.34 × 20,258.11
  4. Step 4: Simplify right side
    34,601.41x = 967,331,640.26
  5. Step 5: Solve for x
    x = 967,331,640.26/34,601.41
  6. Step 6: Final answer
    x = 27,956.42

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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.