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Finding the Fourth Proportional to 37,629, 56,469.48 and 13,005

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Solution

The fourth proportional to 37,629, 56,469.48 and 13,005 is: 19,516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,629 : 56,469.48 = 13,005 : x
  2. Step 2: Convert to fraction form
    37,629/56,469.48 = 13,005/x
  3. Step 3: Cross multiply
    37,629x = 56,469.48 × 13,005
  4. Step 4: Simplify right side
    37,629x = 734,385,587.40
  5. Step 5: Solve for x
    x = 734,385,587.40/37,629
  6. Step 6: Final answer
    x = 19,516.48

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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.