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Finding the Fourth Proportional to 32,806.44, 49,210.76 and 10,620

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Solution

The fourth proportional to 32,806.44, 49,210.76 and 10,620 is: 15,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.44 : 49,210.76 = 10,620 : x
  2. Step 2: Convert to fraction form
    32,806.44/49,210.76 = 10,620/x
  3. Step 3: Cross multiply
    32,806.44x = 49,210.76 × 10,620
  4. Step 4: Simplify right side
    32,806.44x = 522,618,297.75
  5. Step 5: Solve for x
    x = 522,618,297.75/32,806.44
  6. Step 6: Final answer
    x = 15,930.36

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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.