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Finding the Fourth Proportional to 37,183.50, 51,314.45 and 20,416.50

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Solution

The fourth proportional to 37,183.50, 51,314.45 and 20,416.50 is: 28,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,183.50 : 51,314.45 = 20,416.50 : x
  2. Step 2: Convert to fraction form
    37,183.50/51,314.45 = 20,416.50/x
  3. Step 3: Cross multiply
    37,183.50x = 51,314.45 × 20,416.50
  4. Step 4: Simplify right side
    37,183.50x = 1,047,661,366.34
  5. Step 5: Solve for x
    x = 1,047,661,366.34/37,183.50
  6. Step 6: Final answer
    x = 28,175.44

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1.5x scale

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.