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Finding the Fourth Proportional to 37,149.60, 55,724.40 and 13,771.20

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Solution

The fourth proportional to 37,149.60, 55,724.40 and 13,771.20 is: 20,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,149.60 : 55,724.40 = 13,771.20 : x
  2. Step 2: Convert to fraction form
    37,149.60/55,724.40 = 13,771.20/x
  3. Step 3: Cross multiply
    37,149.60x = 55,724.40 × 13,771.20
  4. Step 4: Simplify right side
    37,149.60x = 767,391,857.28
  5. Step 5: Solve for x
    x = 767,391,857.28/37,149.60
  6. Step 6: Final answer
    x = 20,656.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.