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Finding the Fourth Proportional to 37,167.36, 51,291.84 and 20,400

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Solution

The fourth proportional to 37,167.36, 51,291.84 and 20,400 is: 28,152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,167.36 : 51,291.84 = 20,400 : x
  2. Step 2: Convert to fraction form
    37,167.36/51,291.84 = 20,400/x
  3. Step 3: Cross multiply
    37,167.36x = 51,291.84 × 20,400
  4. Step 4: Simplify right side
    37,167.36x = 1,046,353,536.00
  5. Step 5: Solve for x
    x = 1,046,353,536.00/37,167.36
  6. Step 6: Final answer
    x = 28,152.48

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