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Finding the Fourth Proportional to 64,098.44, 96,064 and 46,388.72

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Solution

The fourth proportional to 64,098.44, 96,064 and 46,388.72 is: 69,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,098.44 : 96,064 = 46,388.72 : x
  2. Step 2: Convert to fraction form
    64,098.44/96,064 = 46,388.72/x
  3. Step 3: Cross multiply
    64,098.44x = 96,064 × 46,388.72
  4. Step 4: Simplify right side
    64,098.44x = 4,456,285,998.08
  5. Step 5: Solve for x
    x = 4,456,285,998.08/64,098.44
  6. Step 6: Final answer
    x = 69,522.53

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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.