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Finding the Fourth Proportional to 32,803.69, 49,193.46 and 11,738.02

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Solution

The fourth proportional to 32,803.69, 49,193.46 and 11,738.02 is: 17,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.69 : 49,193.46 = 11,738.02 : x
  2. Step 2: Convert to fraction form
    32,803.69/49,193.46 = 11,738.02/x
  3. Step 3: Cross multiply
    32,803.69x = 49,193.46 × 11,738.02
  4. Step 4: Simplify right side
    32,803.69x = 577,433,817.35
  5. Step 5: Solve for x
    x = 577,433,817.35/32,803.69
  6. Step 6: Final answer
    x = 17,602.71

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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.