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Finding the Fourth Proportional to 110,645.37, 165,968.16 and 47,424.47

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Solution

The fourth proportional to 110,645.37, 165,968.16 and 47,424.47 is: 71,136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,645.37 : 165,968.16 = 47,424.47 : x
  2. Step 2: Convert to fraction form
    110,645.37/165,968.16 = 47,424.47/x
  3. Step 3: Cross multiply
    110,645.37x = 165,968.16 × 47,424.47
  4. Step 4: Simplify right side
    110,645.37x = 7,870,952,024.88
  5. Step 5: Solve for x
    x = 7,870,952,024.88/110,645.37
  6. Step 6: Final answer
    x = 71,136.75

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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.