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Finding the Fourth Proportional to 30,830.98, 42,544.70 and 17,402.80

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Solution

The fourth proportional to 30,830.98, 42,544.70 and 17,402.80 is: 24,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.98 : 42,544.70 = 17,402.80 : x
  2. Step 2: Convert to fraction form
    30,830.98/42,544.70 = 17,402.80/x
  3. Step 3: Cross multiply
    30,830.98x = 42,544.70 × 17,402.80
  4. Step 4: Simplify right side
    30,830.98x = 740,396,905.16
  5. Step 5: Solve for x
    x = 740,396,905.16/30,830.98
  6. Step 6: Final answer
    x = 24,014.71

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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.