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Finding the Fourth Proportional to 32,803.84, 49,206.51 and 11,745.31

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Solution

The fourth proportional to 32,803.84, 49,206.51 and 11,745.31 is: 17,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,803.84 : 49,206.51 = 11,745.31 : x
  2. Step 2: Convert to fraction form
    32,803.84/49,206.51 = 11,745.31/x
  3. Step 3: Cross multiply
    32,803.84x = 49,206.51 × 11,745.31
  4. Step 4: Simplify right side
    32,803.84x = 577,945,713.97
  5. Step 5: Solve for x
    x = 577,945,713.97/32,803.84
  6. Step 6: Final answer
    x = 17,618.23

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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.