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Finding the Fourth Proportional to 38,181.42, 57,210.57 and 20,659.50

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Solution

The fourth proportional to 38,181.42, 57,210.57 and 20,659.50 is: 30,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,181.42 : 57,210.57 = 20,659.50 : x
  2. Step 2: Convert to fraction form
    38,181.42/57,210.57 = 20,659.50/x
  3. Step 3: Cross multiply
    38,181.42x = 57,210.57 × 20,659.50
  4. Step 4: Simplify right side
    38,181.42x = 1,181,941,770.92
  5. Step 5: Solve for x
    x = 1,181,941,770.92/38,181.42
  6. Step 6: Final answer
    x = 30,955.94

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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.