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Finding the Fourth Proportional to 31,279.92, 46,919.88 and 10,518

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Solution

The fourth proportional to 31,279.92, 46,919.88 and 10,518 is: 15,777

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,279.92 : 46,919.88 = 10,518 : x
  2. Step 2: Convert to fraction form
    31,279.92/46,919.88 = 10,518/x
  3. Step 3: Cross multiply
    31,279.92x = 46,919.88 × 10,518
  4. Step 4: Simplify right side
    31,279.92x = 493,503,297.84
  5. Step 5: Solve for x
    x = 493,503,297.84/31,279.92
  6. Step 6: Final answer
    x = 15,777

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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.