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Finding the Fourth Proportional to 37,201.68, 51,338.16 and 20,434.32

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Solution

The fourth proportional to 37,201.68, 51,338.16 and 20,434.32 is: 28,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.68 : 51,338.16 = 20,434.32 : x
  2. Step 2: Convert to fraction form
    37,201.68/51,338.16 = 20,434.32/x
  3. Step 3: Cross multiply
    37,201.68x = 51,338.16 × 20,434.32
  4. Step 4: Simplify right side
    37,201.68x = 1,049,060,389.65
  5. Step 5: Solve for x
    x = 1,049,060,389.65/37,201.68
  6. Step 6: Final answer
    x = 28,199.27

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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.