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Finding the Fourth Proportional to 32,804.80, 49,208.72 and 10,619.90

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Solution

The fourth proportional to 32,804.80, 49,208.72 and 10,619.90 is: 15,930.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804.80 : 49,208.72 = 10,619.90 : x
  2. Step 2: Convert to fraction form
    32,804.80/49,208.72 = 10,619.90/x
  3. Step 3: Cross multiply
    32,804.80x = 49,208.72 × 10,619.90
  4. Step 4: Simplify right side
    32,804.80x = 522,591,685.53
  5. Step 5: Solve for x
    x = 522,591,685.53/32,804.80
  6. Step 6: Final answer
    x = 15,930.34

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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.