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Finding the Fourth Proportional to 32,564.26, 44,889.69 and 25,478.38

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Solution

The fourth proportional to 32,564.26, 44,889.69 and 25,478.38 is: 35,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.26 : 44,889.69 = 25,478.38 : x
  2. Step 2: Convert to fraction form
    32,564.26/44,889.69 = 25,478.38/x
  3. Step 3: Cross multiply
    32,564.26x = 44,889.69 × 25,478.38
  4. Step 4: Simplify right side
    32,564.26x = 1,143,716,579.90
  5. Step 5: Solve for x
    x = 1,143,716,579.90/32,564.26
  6. Step 6: Final answer
    x = 35,121.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.