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Finding the Fourth Proportional to 110,645.73, 165,968.64 and 47,424.78

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Solution

The fourth proportional to 110,645.73, 165,968.64 and 47,424.78 is: 71,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,645.73 : 165,968.64 = 47,424.78 : x
  2. Step 2: Convert to fraction form
    110,645.73/165,968.64 = 47,424.78/x
  3. Step 3: Cross multiply
    110,645.73x = 165,968.64 × 47,424.78
  4. Step 4: Simplify right side
    110,645.73x = 7,871,026,238.90
  5. Step 5: Solve for x
    x = 7,871,026,238.90/110,645.73
  6. Step 6: Final answer
    x = 71,137.19

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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.