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Finding the Fourth Proportional to 41,829.36, 57,725.72 and 23,678.68

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Solution

The fourth proportional to 41,829.36, 57,725.72 and 23,678.68 is: 32,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,829.36 : 57,725.72 = 23,678.68 : x
  2. Step 2: Convert to fraction form
    41,829.36/57,725.72 = 23,678.68/x
  3. Step 3: Cross multiply
    41,829.36x = 57,725.72 × 23,678.68
  4. Step 4: Simplify right side
    41,829.36x = 1,366,868,851.65
  5. Step 5: Solve for x
    x = 1,366,868,851.65/41,829.36
  6. Step 6: Final answer
    x = 32,677.26

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