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Finding the Fourth Proportional to 33,055.60, 49,583.76 and 8,095.72

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Solution

The fourth proportional to 33,055.60, 49,583.76 and 8,095.72 is: 12,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,055.60 : 49,583.76 = 8,095.72 : x
  2. Step 2: Convert to fraction form
    33,055.60/49,583.76 = 8,095.72/x
  3. Step 3: Cross multiply
    33,055.60x = 49,583.76 × 8,095.72
  4. Step 4: Simplify right side
    33,055.60x = 401,416,237.51
  5. Step 5: Solve for x
    x = 401,416,237.51/33,055.60
  6. Step 6: Final answer
    x = 12,143.67

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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.