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Finding the Fourth Proportional to 35,764.80, 53,647.20 and 22,675.20

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Solution

The fourth proportional to 35,764.80, 53,647.20 and 22,675.20 is: 34,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,764.80 : 53,647.20 = 22,675.20 : x
  2. Step 2: Convert to fraction form
    35,764.80/53,647.20 = 22,675.20/x
  3. Step 3: Cross multiply
    35,764.80x = 53,647.20 × 22,675.20
  4. Step 4: Simplify right side
    35,764.80x = 1,216,460,989.44
  5. Step 5: Solve for x
    x = 1,216,460,989.44/35,764.80
  6. Step 6: Final answer
    x = 34,012.80

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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.