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Finding the Fourth Proportional to 32,096.16, 44,288.64 and 18,671.76

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Solution

The fourth proportional to 32,096.16, 44,288.64 and 18,671.76 is: 25,764.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.16 : 44,288.64 = 18,671.76 : x
  2. Step 2: Convert to fraction form
    32,096.16/44,288.64 = 18,671.76/x
  3. Step 3: Cross multiply
    32,096.16x = 44,288.64 × 18,671.76
  4. Step 4: Simplify right side
    32,096.16x = 826,946,856.81
  5. Step 5: Solve for x
    x = 826,946,856.81/32,096.16
  6. Step 6: Final answer
    x = 25,764.67

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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.