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Finding the Fourth Proportional to 32,447.36, 48,661.32 and 11,666

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Solution

The fourth proportional to 32,447.36, 48,661.32 and 11,666 is: 17,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.36 : 48,661.32 = 11,666 : x
  2. Step 2: Convert to fraction form
    32,447.36/48,661.32 = 11,666/x
  3. Step 3: Cross multiply
    32,447.36x = 48,661.32 × 11,666
  4. Step 4: Simplify right side
    32,447.36x = 567,682,959.12
  5. Step 5: Solve for x
    x = 567,682,959.12/32,447.36
  6. Step 6: Final answer
    x = 17,495.51

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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.