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Finding the Fourth Proportional to 64,683.72, 96,850.44 and 47,844

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Solution

The fourth proportional to 64,683.72, 96,850.44 and 47,844 is: 71,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,683.72 : 96,850.44 = 47,844 : x
  2. Step 2: Convert to fraction form
    64,683.72/96,850.44 = 47,844/x
  3. Step 3: Cross multiply
    64,683.72x = 96,850.44 × 47,844
  4. Step 4: Simplify right side
    64,683.72x = 4,633,712,451.36
  5. Step 5: Solve for x
    x = 4,633,712,451.36/64,683.72
  6. Step 6: Final answer
    x = 71,636.46

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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.