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Finding the Fourth Proportional to 38,525.52, 57,678.72 and 25,338.24

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Solution

The fourth proportional to 38,525.52, 57,678.72 and 25,338.24 is: 37,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,525.52 : 57,678.72 = 25,338.24 : x
  2. Step 2: Convert to fraction form
    38,525.52/57,678.72 = 25,338.24/x
  3. Step 3: Cross multiply
    38,525.52x = 57,678.72 × 25,338.24
  4. Step 4: Simplify right side
    38,525.52x = 1,461,477,250.25
  5. Step 5: Solve for x
    x = 1,461,477,250.25/38,525.52
  6. Step 6: Final answer
    x = 37,935.30

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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.