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Finding the Fourth Proportional to 32,449.36, 48,664.32 and 11,668

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Solution

The fourth proportional to 32,449.36, 48,664.32 and 11,668 is: 17,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.36 : 48,664.32 = 11,668 : x
  2. Step 2: Convert to fraction form
    32,449.36/48,664.32 = 11,668/x
  3. Step 3: Cross multiply
    32,449.36x = 48,664.32 × 11,668
  4. Step 4: Simplify right side
    32,449.36x = 567,815,285.76
  5. Step 5: Solve for x
    x = 567,815,285.76/32,449.36
  6. Step 6: Final answer
    x = 17,498.50

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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.