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Finding the Fourth Proportional to 30,513.50, 42,109.41 and 17,087.59

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Solution

The fourth proportional to 30,513.50, 42,109.41 and 17,087.59 is: 23,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.50 : 42,109.41 = 17,087.59 : x
  2. Step 2: Convert to fraction form
    30,513.50/42,109.41 = 17,087.59/x
  3. Step 3: Cross multiply
    30,513.50x = 42,109.41 × 17,087.59
  4. Step 4: Simplify right side
    30,513.50x = 719,548,333.22
  5. Step 5: Solve for x
    x = 719,548,333.22/30,513.50
  6. Step 6: Final answer
    x = 23,581.31

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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.