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Finding the Fourth Proportional to 31,689.08, 47,537.94 and 10,907

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Solution

The fourth proportional to 31,689.08, 47,537.94 and 10,907 is: 16,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,689.08 : 47,537.94 = 10,907 : x
  2. Step 2: Convert to fraction form
    31,689.08/47,537.94 = 10,907/x
  3. Step 3: Cross multiply
    31,689.08x = 47,537.94 × 10,907
  4. Step 4: Simplify right side
    31,689.08x = 518,496,311.58
  5. Step 5: Solve for x
    x = 518,496,311.58/31,689.08
  6. Step 6: Final answer
    x = 16,361.99

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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.