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Finding the Fourth Proportional to 36,807.40, 55,211.10 and 19,282.60

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Solution

The fourth proportional to 36,807.40, 55,211.10 and 19,282.60 is: 28,923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,807.40 : 55,211.10 = 19,282.60 : x
  2. Step 2: Convert to fraction form
    36,807.40/55,211.10 = 19,282.60/x
  3. Step 3: Cross multiply
    36,807.40x = 55,211.10 × 19,282.60
  4. Step 4: Simplify right side
    36,807.40x = 1,064,613,556.86
  5. Step 5: Solve for x
    x = 1,064,613,556.86/36,807.40
  6. Step 6: Final answer
    x = 28,923.90

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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.