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Finding the Fourth Proportional to 31,619.46, 47,415.07 and 9,426.88

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Solution

The fourth proportional to 31,619.46, 47,415.07 and 9,426.88 is: 14,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,619.46 : 47,415.07 = 9,426.88 : x
  2. Step 2: Convert to fraction form
    31,619.46/47,415.07 = 9,426.88/x
  3. Step 3: Cross multiply
    31,619.46x = 47,415.07 × 9,426.88
  4. Step 4: Simplify right side
    31,619.46x = 446,976,246.13
  5. Step 5: Solve for x
    x = 446,976,246.13/31,619.46
  6. Step 6: Final answer
    x = 14,136.11

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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.