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Finding the Fourth Proportional to 31,700.88, 47,554.02 and 8,327.25

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Solution

The fourth proportional to 31,700.88, 47,554.02 and 8,327.25 is: 12,491.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.88 : 47,554.02 = 8,327.25 : x
  2. Step 2: Convert to fraction form
    31,700.88/47,554.02 = 8,327.25/x
  3. Step 3: Cross multiply
    31,700.88x = 47,554.02 × 8,327.25
  4. Step 4: Simplify right side
    31,700.88x = 395,994,213.05
  5. Step 5: Solve for x
    x = 395,994,213.05/31,700.88
  6. Step 6: Final answer
    x = 12,491.58

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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.