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Finding the Fourth Proportional to 31,477.48, 47,245.50 and 15,906.04

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Solution

The fourth proportional to 31,477.48, 47,245.50 and 15,906.04 is: 23,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,477.48 : 47,245.50 = 15,906.04 : x
  2. Step 2: Convert to fraction form
    31,477.48/47,245.50 = 15,906.04/x
  3. Step 3: Cross multiply
    31,477.48x = 47,245.50 × 15,906.04
  4. Step 4: Simplify right side
    31,477.48x = 751,488,812.82
  5. Step 5: Solve for x
    x = 751,488,812.82/31,477.48
  6. Step 6: Final answer
    x = 23,873.86

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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.