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Finding the Fourth Proportional to 31,171.76, 46,760.08 and 10,395.24

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Solution

The fourth proportional to 31,171.76, 46,760.08 and 10,395.24 is: 15,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.76 : 46,760.08 = 10,395.24 : x
  2. Step 2: Convert to fraction form
    31,171.76/46,760.08 = 10,395.24/x
  3. Step 3: Cross multiply
    31,171.76x = 46,760.08 × 10,395.24
  4. Step 4: Simplify right side
    31,171.76x = 486,082,254.02
  5. Step 5: Solve for x
    x = 486,082,254.02/31,171.76
  6. Step 6: Final answer
    x = 15,593.67

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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.