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Finding the Fourth Proportional to 51,289.76, 76,944.60 and 19,697.50

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Solution

The fourth proportional to 51,289.76, 76,944.60 and 19,697.50 is: 29,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,289.76 : 76,944.60 = 19,697.50 : x
  2. Step 2: Convert to fraction form
    51,289.76/76,944.60 = 19,697.50/x
  3. Step 3: Cross multiply
    51,289.76x = 76,944.60 × 19,697.50
  4. Step 4: Simplify right side
    51,289.76x = 1,515,616,258.50
  5. Step 5: Solve for x
    x = 1,515,616,258.50/51,289.76
  6. Step 6: Final answer
    x = 29,550.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.