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Finding the Fourth Proportional to 31,134.87, 46,698.86 and 11,143.56

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Solution

The fourth proportional to 31,134.87, 46,698.86 and 11,143.56 is: 16,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.87 : 46,698.86 = 11,143.56 : x
  2. Step 2: Convert to fraction form
    31,134.87/46,698.86 = 11,143.56/x
  3. Step 3: Cross multiply
    31,134.87x = 46,698.86 × 11,143.56
  4. Step 4: Simplify right side
    31,134.87x = 520,391,492.62
  5. Step 5: Solve for x
    x = 520,391,492.62/31,134.87
  6. Step 6: Final answer
    x = 16,714.11

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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.