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Finding the Fourth Proportional to 32,440.50, 48,668.04 and 11,664

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Solution

The fourth proportional to 32,440.50, 48,668.04 and 11,664 is: 17,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440.50 : 48,668.04 = 11,664 : x
  2. Step 2: Convert to fraction form
    32,440.50/48,668.04 = 11,664/x
  3. Step 3: Cross multiply
    32,440.50x = 48,668.04 × 11,664
  4. Step 4: Simplify right side
    32,440.50x = 567,664,018.56
  5. Step 5: Solve for x
    x = 567,664,018.56/32,440.50
  6. Step 6: Final answer
    x = 17,498.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.