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Finding the Fourth Proportional to 30,781.98, 42,475.04 and 17,353.80

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Solution

The fourth proportional to 30,781.98, 42,475.04 and 17,353.80 is: 23,945.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.98 : 42,475.04 = 17,353.80 : x
  2. Step 2: Convert to fraction form
    30,781.98/42,475.04 = 17,353.80/x
  3. Step 3: Cross multiply
    30,781.98x = 42,475.04 × 17,353.80
  4. Step 4: Simplify right side
    30,781.98x = 737,103,349.15
  5. Step 5: Solve for x
    x = 737,103,349.15/30,781.98
  6. Step 6: Final answer
    x = 23,945.94

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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.