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Finding the Fourth Proportional to 38,493.82, 57,718.86 and 15,107.50

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Solution

The fourth proportional to 38,493.82, 57,718.86 and 15,107.50 is: 22,652.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,493.82 : 57,718.86 = 15,107.50 : x
  2. Step 2: Convert to fraction form
    38,493.82/57,718.86 = 15,107.50/x
  3. Step 3: Cross multiply
    38,493.82x = 57,718.86 × 15,107.50
  4. Step 4: Simplify right side
    38,493.82x = 871,987,677.45
  5. Step 5: Solve for x
    x = 871,987,677.45/38,493.82
  6. Step 6: Final answer
    x = 22,652.67

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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.