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Finding the Fourth Proportional to 30,183.78, 45,258.03 and 9,117.54

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Solution

The fourth proportional to 30,183.78, 45,258.03 and 9,117.54 is: 13,670.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,183.78 : 45,258.03 = 9,117.54 : x
  2. Step 2: Convert to fraction form
    30,183.78/45,258.03 = 9,117.54/x
  3. Step 3: Cross multiply
    30,183.78x = 45,258.03 × 9,117.54
  4. Step 4: Simplify right side
    30,183.78x = 412,641,898.85
  5. Step 5: Solve for x
    x = 412,641,898.85/30,183.78
  6. Step 6: Final answer
    x = 13,670.98

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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.