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Finding the Fourth Proportional to 31,624.88, 47,441.52 and 9,439.04

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Solution

The fourth proportional to 31,624.88, 47,441.52 and 9,439.04 is: 14,159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624.88 : 47,441.52 = 9,439.04 : x
  2. Step 2: Convert to fraction form
    31,624.88/47,441.52 = 9,439.04/x
  3. Step 3: Cross multiply
    31,624.88x = 47,441.52 × 9,439.04
  4. Step 4: Simplify right side
    31,624.88x = 447,802,404.94
  5. Step 5: Solve for x
    x = 447,802,404.94/31,624.88
  6. Step 6: Final answer
    x = 14,159.81

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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.