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Finding the Fourth Proportional to 30,778.98, 42,470.89 and 17,350.80

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Solution

The fourth proportional to 30,778.98, 42,470.89 and 17,350.80 is: 23,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,778.98 : 42,470.89 = 17,350.80 : x
  2. Step 2: Convert to fraction form
    30,778.98/42,470.89 = 17,350.80/x
  3. Step 3: Cross multiply
    30,778.98x = 42,470.89 × 17,350.80
  4. Step 4: Simplify right side
    30,778.98x = 736,903,918.21
  5. Step 5: Solve for x
    x = 736,903,918.21/30,778.98
  6. Step 6: Final answer
    x = 23,941.79

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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.