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Finding the Fourth Proportional to 32,744.64, 49,116.60 and 19,600.68

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Solution

The fourth proportional to 32,744.64, 49,116.60 and 19,600.68 is: 29,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,744.64 : 49,116.60 = 19,600.68 : x
  2. Step 2: Convert to fraction form
    32,744.64/49,116.60 = 19,600.68/x
  3. Step 3: Cross multiply
    32,744.64x = 49,116.60 × 19,600.68
  4. Step 4: Simplify right side
    32,744.64x = 962,718,759.29
  5. Step 5: Solve for x
    x = 962,718,759.29/32,744.64
  6. Step 6: Final answer
    x = 29,400.80

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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.