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Finding the Fourth Proportional to 64,121.85, 96,188.24 and 16,743.24

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Solution

The fourth proportional to 64,121.85, 96,188.24 and 16,743.24 is: 25,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,121.85 : 96,188.24 = 16,743.24 : x
  2. Step 2: Convert to fraction form
    64,121.85/96,188.24 = 16,743.24/x
  3. Step 3: Cross multiply
    64,121.85x = 96,188.24 × 16,743.24
  4. Step 4: Simplify right side
    64,121.85x = 1,610,502,829.36
  5. Step 5: Solve for x
    x = 1,610,502,829.36/64,121.85
  6. Step 6: Final answer
    x = 25,116.29

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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.