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Finding the Fourth Proportional to 37,842.60, 51,844.64 and 36,423.80

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Solution

The fourth proportional to 37,842.60, 51,844.64 and 36,423.80 is: 49,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.60 : 51,844.64 = 36,423.80 : x
  2. Step 2: Convert to fraction form
    37,842.60/51,844.64 = 36,423.80/x
  3. Step 3: Cross multiply
    37,842.60x = 51,844.64 × 36,423.80
  4. Step 4: Simplify right side
    37,842.60x = 1,888,378,798.43
  5. Step 5: Solve for x
    x = 1,888,378,798.43/37,842.60
  6. Step 6: Final answer
    x = 49,900.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.