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Finding the Fourth Proportional to 31,654.26, 47,504.70 and 15,014.16

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Solution

The fourth proportional to 31,654.26, 47,504.70 and 15,014.16 is: 22,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,654.26 : 47,504.70 = 15,014.16 : x
  2. Step 2: Convert to fraction form
    31,654.26/47,504.70 = 15,014.16/x
  3. Step 3: Cross multiply
    31,654.26x = 47,504.70 × 15,014.16
  4. Step 4: Simplify right side
    31,654.26x = 713,243,166.55
  5. Step 5: Solve for x
    x = 713,243,166.55/31,654.26
  6. Step 6: Final answer
    x = 22,532.30

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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.