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Finding the Fourth Proportional to 31,626.98, 47,435.09 and 10,564.63

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Solution

The fourth proportional to 31,626.98, 47,435.09 and 10,564.63 is: 15,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,626.98 : 47,435.09 = 10,564.63 : x
  2. Step 2: Convert to fraction form
    31,626.98/47,435.09 = 10,564.63/x
  3. Step 3: Cross multiply
    31,626.98x = 47,435.09 × 10,564.63
  4. Step 4: Simplify right side
    31,626.98x = 501,134,174.87
  5. Step 5: Solve for x
    x = 501,134,174.87/31,626.98
  6. Step 6: Final answer
    x = 15,845.15

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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.