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Finding the Fourth Proportional to 64,175.51, 96,183 and 30,886.67

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Solution

The fourth proportional to 64,175.51, 96,183 and 30,886.67 is: 46,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,175.51 : 96,183 = 30,886.67 : x
  2. Step 2: Convert to fraction form
    64,175.51/96,183 = 30,886.67/x
  3. Step 3: Cross multiply
    64,175.51x = 96,183 × 30,886.67
  4. Step 4: Simplify right side
    64,175.51x = 2,970,772,099.70
  5. Step 5: Solve for x
    x = 2,970,772,099.70/64,175.51
  6. Step 6: Final answer
    x = 46,291.37

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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.