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Finding the Fourth Proportional to 31,178.24, 46,768 and 10,401.92

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Solution

The fourth proportional to 31,178.24, 46,768 and 10,401.92 is: 15,603.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.24 : 46,768 = 10,401.92 : x
  2. Step 2: Convert to fraction form
    31,178.24/46,768 = 10,401.92/x
  3. Step 3: Cross multiply
    31,178.24x = 46,768 × 10,401.92
  4. Step 4: Simplify right side
    31,178.24x = 486,476,994.56
  5. Step 5: Solve for x
    x = 486,476,994.56/31,178.24
  6. Step 6: Final answer
    x = 15,603.09

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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.