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Finding the Fourth Proportional to 38,475, 57,719.25 and 18,467.33

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Solution

The fourth proportional to 38,475, 57,719.25 and 18,467.33 is: 27,704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 57,719.25 = 18,467.33 : x
  2. Step 2: Convert to fraction form
    38,475/57,719.25 = 18,467.33/x
  3. Step 3: Cross multiply
    38,475x = 57,719.25 × 18,467.33
  4. Step 4: Simplify right side
    38,475x = 1,065,920,148.51
  5. Step 5: Solve for x
    x = 1,065,920,148.51/38,475
  6. Step 6: Final answer
    x = 27,704.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.