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Finding the Fourth Proportional to 32,924.70, 49,385.94 and 13,197.96

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Solution

The fourth proportional to 32,924.70, 49,385.94 and 13,197.96 is: 19,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.70 : 49,385.94 = 13,197.96 : x
  2. Step 2: Convert to fraction form
    32,924.70/49,385.94 = 13,197.96/x
  3. Step 3: Cross multiply
    32,924.70x = 49,385.94 × 13,197.96
  4. Step 4: Simplify right side
    32,924.70x = 651,793,660.68
  5. Step 5: Solve for x
    x = 651,793,660.68/32,924.70
  6. Step 6: Final answer
    x = 19,796.50

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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.