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Finding the Fourth Proportional to 40,200.90, 55,477.62 and 22,297.38

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Solution

The fourth proportional to 40,200.90, 55,477.62 and 22,297.38 is: 30,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,200.90 : 55,477.62 = 22,297.38 : x
  2. Step 2: Convert to fraction form
    40,200.90/55,477.62 = 22,297.38/x
  3. Step 3: Cross multiply
    40,200.90x = 55,477.62 × 22,297.38
  4. Step 4: Simplify right side
    40,200.90x = 1,237,005,574.64
  5. Step 5: Solve for x
    x = 1,237,005,574.64/40,200.90
  6. Step 6: Final answer
    x = 30,770.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.