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Finding the Fourth Proportional to 31,213.50, 46,847.99 and 14,582.71

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Solution

The fourth proportional to 31,213.50, 46,847.99 and 14,582.71 is: 21,887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,213.50 : 46,847.99 = 14,582.71 : x
  2. Step 2: Convert to fraction form
    31,213.50/46,847.99 = 14,582.71/x
  3. Step 3: Cross multiply
    31,213.50x = 46,847.99 × 14,582.71
  4. Step 4: Simplify right side
    31,213.50x = 683,170,652.25
  5. Step 5: Solve for x
    x = 683,170,652.25/31,213.50
  6. Step 6: Final answer
    x = 21,887.02

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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.