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Finding the Fourth Proportional to 31,633.98, 47,412.09 and 16,842.30

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Solution

The fourth proportional to 31,633.98, 47,412.09 and 16,842.30 is: 25,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,633.98 : 47,412.09 = 16,842.30 : x
  2. Step 2: Convert to fraction form
    31,633.98/47,412.09 = 16,842.30/x
  3. Step 3: Cross multiply
    31,633.98x = 47,412.09 × 16,842.30
  4. Step 4: Simplify right side
    31,633.98x = 798,528,643.41
  5. Step 5: Solve for x
    x = 798,528,643.41/31,633.98
  6. Step 6: Final answer
    x = 25,242.75

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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.