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Finding the Fourth Proportional to 31,170.84, 46,774.68 and 12,459.68

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Solution

The fourth proportional to 31,170.84, 46,774.68 and 12,459.68 is: 18,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.84 : 46,774.68 = 12,459.68 : x
  2. Step 2: Convert to fraction form
    31,170.84/46,774.68 = 12,459.68/x
  3. Step 3: Cross multiply
    31,170.84x = 46,774.68 × 12,459.68
  4. Step 4: Simplify right side
    31,170.84x = 582,797,544.90
  5. Step 5: Solve for x
    x = 582,797,544.90/31,170.84
  6. Step 6: Final answer
    x = 18,696.88

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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.