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Finding the Fourth Proportional to 32,396.46, 48,742.92 and 19,258.67

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Solution

The fourth proportional to 32,396.46, 48,742.92 and 19,258.67 is: 28,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,396.46 : 48,742.92 = 19,258.67 : x
  2. Step 2: Convert to fraction form
    32,396.46/48,742.92 = 19,258.67/x
  3. Step 3: Cross multiply
    32,396.46x = 48,742.92 × 19,258.67
  4. Step 4: Simplify right side
    32,396.46x = 938,723,785.74
  5. Step 5: Solve for x
    x = 938,723,785.74/32,396.46
  6. Step 6: Final answer
    x = 28,976.12

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Why These Related Problems?

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