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Finding the Fourth Proportional to 31,813.98, 43,909.74 and 18,385.80

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Solution

The fourth proportional to 31,813.98, 43,909.74 and 18,385.80 is: 25,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.98 : 43,909.74 = 18,385.80 : x
  2. Step 2: Convert to fraction form
    31,813.98/43,909.74 = 18,385.80/x
  3. Step 3: Cross multiply
    31,813.98x = 43,909.74 × 18,385.80
  4. Step 4: Simplify right side
    31,813.98x = 807,315,697.69
  5. Step 5: Solve for x
    x = 807,315,697.69/31,813.98
  6. Step 6: Final answer
    x = 25,376.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.