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Finding the Fourth Proportional to 32,811.98, 49,225.79 and 10,625.40

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Solution

The fourth proportional to 32,811.98, 49,225.79 and 10,625.40 is: 15,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811.98 : 49,225.79 = 10,625.40 : x
  2. Step 2: Convert to fraction form
    32,811.98/49,225.79 = 10,625.40/x
  3. Step 3: Cross multiply
    32,811.98x = 49,225.79 × 10,625.40
  4. Step 4: Simplify right side
    32,811.98x = 523,043,735.63
  5. Step 5: Solve for x
    x = 523,043,735.63/32,811.98
  6. Step 6: Final answer
    x = 15,940.64

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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.