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Finding the Fourth Proportional to 31,446.90, 47,107.03 and 14,556.10

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Solution

The fourth proportional to 31,446.90, 47,107.03 and 14,556.10 is: 21,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446.90 : 47,107.03 = 14,556.10 : x
  2. Step 2: Convert to fraction form
    31,446.90/47,107.03 = 14,556.10/x
  3. Step 3: Cross multiply
    31,446.90x = 47,107.03 × 14,556.10
  4. Step 4: Simplify right side
    31,446.90x = 685,694,639.38
  5. Step 5: Solve for x
    x = 685,694,639.38/31,446.90
  6. Step 6: Final answer
    x = 21,804.84

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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.