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Finding the Fourth Proportional to 38,525.68, 57,790.50 and 10,825.84

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Solution

The fourth proportional to 38,525.68, 57,790.50 and 10,825.84 is: 16,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,525.68 : 57,790.50 = 10,825.84 : x
  2. Step 2: Convert to fraction form
    38,525.68/57,790.50 = 10,825.84/x
  3. Step 3: Cross multiply
    38,525.68x = 57,790.50 × 10,825.84
  4. Step 4: Simplify right side
    38,525.68x = 625,630,706.52
  5. Step 5: Solve for x
    x = 625,630,706.52/38,525.68
  6. Step 6: Final answer
    x = 16,239.32

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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.