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Finding the Fourth Proportional to 32,696.46, 49,037.39 and 15,164.01

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Solution

The fourth proportional to 32,696.46, 49,037.39 and 15,164.01 is: 22,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696.46 : 49,037.39 = 15,164.01 : x
  2. Step 2: Convert to fraction form
    32,696.46/49,037.39 = 15,164.01/x
  3. Step 3: Cross multiply
    32,696.46x = 49,037.39 × 15,164.01
  4. Step 4: Simplify right side
    32,696.46x = 743,603,396.51
  5. Step 5: Solve for x
    x = 743,603,396.51/32,696.46
  6. Step 6: Final answer
    x = 22,742.63

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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.