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Finding the Fourth Proportional to 38,477.10, 57,715.65 and 12,183.90

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Solution

The fourth proportional to 38,477.10, 57,715.65 and 12,183.90 is: 18,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477.10 : 57,715.65 = 12,183.90 : x
  2. Step 2: Convert to fraction form
    38,477.10/57,715.65 = 12,183.90/x
  3. Step 3: Cross multiply
    38,477.10x = 57,715.65 × 12,183.90
  4. Step 4: Simplify right side
    38,477.10x = 703,201,708.04
  5. Step 5: Solve for x
    x = 703,201,708.04/38,477.10
  6. Step 6: Final answer
    x = 18,275.85

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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.