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Finding the Fourth Proportional to 32,901, 49,351.50 and 11,013

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Solution

The fourth proportional to 32,901, 49,351.50 and 11,013 is: 16,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901 : 49,351.50 = 11,013 : x
  2. Step 2: Convert to fraction form
    32,901/49,351.50 = 11,013/x
  3. Step 3: Cross multiply
    32,901x = 49,351.50 × 11,013
  4. Step 4: Simplify right side
    32,901x = 543,508,069.50
  5. Step 5: Solve for x
    x = 543,508,069.50/32,901
  6. Step 6: Final answer
    x = 16,519.50

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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.