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Finding the Fourth Proportional to 38,298.32, 57,388.80 and 25,772

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Solution

The fourth proportional to 38,298.32, 57,388.80 and 25,772 is: 38,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298.32 : 57,388.80 = 25,772 : x
  2. Step 2: Convert to fraction form
    38,298.32/57,388.80 = 25,772/x
  3. Step 3: Cross multiply
    38,298.32x = 57,388.80 × 25,772
  4. Step 4: Simplify right side
    38,298.32x = 1,479,024,153.60
  5. Step 5: Solve for x
    x = 1,479,024,153.60/38,298.32
  6. Step 6: Final answer
    x = 38,618.51

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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.