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Finding the Fourth Proportional to 30,402.73, 45,604.24 and 13,743.26

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Solution

The fourth proportional to 30,402.73, 45,604.24 and 13,743.26 is: 20,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.73 : 45,604.24 = 13,743.26 : x
  2. Step 2: Convert to fraction form
    30,402.73/45,604.24 = 13,743.26/x
  3. Step 3: Cross multiply
    30,402.73x = 45,604.24 × 13,743.26
  4. Step 4: Simplify right side
    30,402.73x = 626,750,699.40
  5. Step 5: Solve for x
    x = 626,750,699.40/30,402.73
  6. Step 6: Final answer
    x = 20,614.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.