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Finding the Fourth Proportional to 110,645.62, 165,968.53 and 47,424.72

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Solution

The fourth proportional to 110,645.62, 165,968.53 and 47,424.72 is: 71,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,645.62 : 165,968.53 = 47,424.72 : x
  2. Step 2: Convert to fraction form
    110,645.62/165,968.53 = 47,424.72/x
  3. Step 3: Cross multiply
    110,645.62x = 165,968.53 × 47,424.72
  4. Step 4: Simplify right side
    110,645.62x = 7,871,010,234.22
  5. Step 5: Solve for x
    x = 7,871,010,234.22/110,645.62
  6. Step 6: Final answer
    x = 71,137.12

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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.