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Finding the Fourth Proportional to 31,172.40, 46,758.78 and 10,395.84

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Solution

The fourth proportional to 31,172.40, 46,758.78 and 10,395.84 is: 15,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,172.40 : 46,758.78 = 10,395.84 : x
  2. Step 2: Convert to fraction form
    31,172.40/46,758.78 = 10,395.84/x
  3. Step 3: Cross multiply
    31,172.40x = 46,758.78 × 10,395.84
  4. Step 4: Simplify right side
    31,172.40x = 486,096,795.48
  5. Step 5: Solve for x
    x = 486,096,795.48/31,172.40
  6. Step 6: Final answer
    x = 15,593.82

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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.