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Finding the Fourth Proportional to 41,823.80, 57,799.80 and 34,258.14

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Solution

The fourth proportional to 41,823.80, 57,799.80 and 34,258.14 is: 47,344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,823.80 : 57,799.80 = 34,258.14 : x
  2. Step 2: Convert to fraction form
    41,823.80/57,799.80 = 34,258.14/x
  3. Step 3: Cross multiply
    41,823.80x = 57,799.80 × 34,258.14
  4. Step 4: Simplify right side
    41,823.80x = 1,980,113,640.37
  5. Step 5: Solve for x
    x = 1,980,113,640.37/41,823.80
  6. Step 6: Final answer
    x = 47,344.18

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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.