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Finding the Fourth Proportional to 32,798.56, 49,198.15 and 9,425

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Solution

The fourth proportional to 32,798.56, 49,198.15 and 9,425 is: 14,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798.56 : 49,198.15 = 9,425 : x
  2. Step 2: Convert to fraction form
    32,798.56/49,198.15 = 9,425/x
  3. Step 3: Cross multiply
    32,798.56x = 49,198.15 × 9,425
  4. Step 4: Simplify right side
    32,798.56x = 463,692,563.75
  5. Step 5: Solve for x
    x = 463,692,563.75/32,798.56
  6. Step 6: Final answer
    x = 14,137.59

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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.