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Finding the Fourth Proportional to 38,253.89, 57,376.27 and 10,176

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Solution

The fourth proportional to 38,253.89, 57,376.27 and 10,176 is: 15,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,253.89 : 57,376.27 = 10,176 : x
  2. Step 2: Convert to fraction form
    38,253.89/57,376.27 = 10,176/x
  3. Step 3: Cross multiply
    38,253.89x = 57,376.27 × 10,176
  4. Step 4: Simplify right side
    38,253.89x = 583,860,898.08
  5. Step 5: Solve for x
    x = 583,860,898.08/38,253.89
  6. Step 6: Final answer
    x = 15,262.78

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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.