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Finding the Fourth Proportional to 30,794.09, 42,495.25 and 17,365.10

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Solution

The fourth proportional to 30,794.09, 42,495.25 and 17,365.10 is: 23,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.09 : 42,495.25 = 17,365.10 : x
  2. Step 2: Convert to fraction form
    30,794.09/42,495.25 = 17,365.10/x
  3. Step 3: Cross multiply
    30,794.09x = 42,495.25 × 17,365.10
  4. Step 4: Simplify right side
    30,794.09x = 737,934,265.78
  5. Step 5: Solve for x
    x = 737,934,265.78/30,794.09
  6. Step 6: Final answer
    x = 23,963.50

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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.