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Finding the Fourth Proportional to 38,145.68, 57,218.54 and 11,850.44

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Solution

The fourth proportional to 38,145.68, 57,218.54 and 11,850.44 is: 17,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,145.68 : 57,218.54 = 11,850.44 : x
  2. Step 2: Convert to fraction form
    38,145.68/57,218.54 = 11,850.44/x
  3. Step 3: Cross multiply
    38,145.68x = 57,218.54 × 11,850.44
  4. Step 4: Simplify right side
    38,145.68x = 678,064,875.16
  5. Step 5: Solve for x
    x = 678,064,875.16/38,145.68
  6. Step 6: Final answer
    x = 17,775.67

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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.