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Finding the Fourth Proportional to 29,504.54, 44,218.53 and 11,964.80

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Solution

The fourth proportional to 29,504.54, 44,218.53 and 11,964.80 is: 17,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,504.54 : 44,218.53 = 11,964.80 : x
  2. Step 2: Convert to fraction form
    29,504.54/44,218.53 = 11,964.80/x
  3. Step 3: Cross multiply
    29,504.54x = 44,218.53 × 11,964.80
  4. Step 4: Simplify right side
    29,504.54x = 529,065,646.65
  5. Step 5: Solve for x
    x = 529,065,646.65/29,504.54
  6. Step 6: Final answer
    x = 17,931.67

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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.