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Finding the Fourth Proportional to 37,804.28, 56,704.12 and 16,738.16

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Solution

The fourth proportional to 37,804.28, 56,704.12 and 16,738.16 is: 25,106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,804.28 : 56,704.12 = 16,738.16 : x
  2. Step 2: Convert to fraction form
    37,804.28/56,704.12 = 16,738.16/x
  3. Step 3: Cross multiply
    37,804.28x = 56,704.12 × 16,738.16
  4. Step 4: Simplify right side
    37,804.28x = 949,122,307.85
  5. Step 5: Solve for x
    x = 949,122,307.85/37,804.28
  6. Step 6: Final answer
    x = 25,106.22

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Why These Related Problems?

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