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Finding the Fourth Proportional to 38,205.81, 57,302.44 and 10,127.60

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Solution

The fourth proportional to 38,205.81, 57,302.44 and 10,127.60 is: 15,189.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205.81 : 57,302.44 = 10,127.60 : x
  2. Step 2: Convert to fraction form
    38,205.81/57,302.44 = 10,127.60/x
  3. Step 3: Cross multiply
    38,205.81x = 57,302.44 × 10,127.60
  4. Step 4: Simplify right side
    38,205.81x = 580,336,094.40
  5. Step 5: Solve for x
    x = 580,336,094.40/38,205.81
  6. Step 6: Final answer
    x = 15,189.73

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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.