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Finding the Fourth Proportional to 113,851.50, 170,777.28 and 30,745.50

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Solution

The fourth proportional to 113,851.50, 170,777.28 and 30,745.50 is: 46,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,851.50 : 170,777.28 = 30,745.50 : x
  2. Step 2: Convert to fraction form
    113,851.50/170,777.28 = 30,745.50/x
  3. Step 3: Cross multiply
    113,851.50x = 170,777.28 × 30,745.50
  4. Step 4: Simplify right side
    113,851.50x = 5,250,632,862.24
  5. Step 5: Solve for x
    x = 5,250,632,862.24/113,851.50
  6. Step 6: Final answer
    x = 46,118.26

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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.