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Finding the Fourth Proportional to 38,335.50, 57,510.51 and 13,382.67

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Solution

The fourth proportional to 38,335.50, 57,510.51 and 13,382.67 is: 20,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,335.50 : 57,510.51 = 13,382.67 : x
  2. Step 2: Convert to fraction form
    38,335.50/57,510.51 = 13,382.67/x
  3. Step 3: Cross multiply
    38,335.50x = 57,510.51 × 13,382.67
  4. Step 4: Simplify right side
    38,335.50x = 769,644,176.86
  5. Step 5: Solve for x
    x = 769,644,176.86/38,335.50
  6. Step 6: Final answer
    x = 20,076.54

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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.