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Finding the Fourth Proportional to 31,400.53, 47,107.31 and 9,214.63

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Solution

The fourth proportional to 31,400.53, 47,107.31 and 9,214.63 is: 13,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.53 : 47,107.31 = 9,214.63 : x
  2. Step 2: Convert to fraction form
    31,400.53/47,107.31 = 9,214.63/x
  3. Step 3: Cross multiply
    31,400.53x = 47,107.31 × 9,214.63
  4. Step 4: Simplify right side
    31,400.53x = 434,076,431.95
  5. Step 5: Solve for x
    x = 434,076,431.95/31,400.53
  6. Step 6: Final answer
    x = 13,823.86

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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.