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Finding the Fourth Proportional to 34,258.60, 47,284.48 and 20,827

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Solution

The fourth proportional to 34,258.60, 47,284.48 and 20,827 is: 28,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,258.60 : 47,284.48 = 20,827 : x
  2. Step 2: Convert to fraction form
    34,258.60/47,284.48 = 20,827/x
  3. Step 3: Cross multiply
    34,258.60x = 47,284.48 × 20,827
  4. Step 4: Simplify right side
    34,258.60x = 984,793,864.96
  5. Step 5: Solve for x
    x = 984,793,864.96/34,258.60
  6. Step 6: Final answer
    x = 28,745.89

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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.