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Finding the Fourth Proportional to 31,314.58, 46,960.16 and 12,588.28

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Solution

The fourth proportional to 31,314.58, 46,960.16 and 12,588.28 is: 18,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314.58 : 46,960.16 = 12,588.28 : x
  2. Step 2: Convert to fraction form
    31,314.58/46,960.16 = 12,588.28/x
  3. Step 3: Cross multiply
    31,314.58x = 46,960.16 × 12,588.28
  4. Step 4: Simplify right side
    31,314.58x = 591,147,642.92
  5. Step 5: Solve for x
    x = 591,147,642.92/31,314.58
  6. Step 6: Final answer
    x = 18,877.71

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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.