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Finding the Fourth Proportional to 32,491.10, 48,738.36 and 9,119.36

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Solution

The fourth proportional to 32,491.10, 48,738.36 and 9,119.36 is: 13,679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,491.10 : 48,738.36 = 9,119.36 : x
  2. Step 2: Convert to fraction form
    32,491.10/48,738.36 = 9,119.36/x
  3. Step 3: Cross multiply
    32,491.10x = 48,738.36 × 9,119.36
  4. Step 4: Simplify right side
    32,491.10x = 444,462,650.65
  5. Step 5: Solve for x
    x = 444,462,650.65/32,491.10
  6. Step 6: Final answer
    x = 13,679.52

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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.