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Finding the Fourth Proportional to 30,730.56, 42,408.24 and 17,302

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Solution

The fourth proportional to 30,730.56, 42,408.24 and 17,302 is: 23,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,730.56 : 42,408.24 = 17,302 : x
  2. Step 2: Convert to fraction form
    30,730.56/42,408.24 = 17,302/x
  3. Step 3: Cross multiply
    30,730.56x = 42,408.24 × 17,302
  4. Step 4: Simplify right side
    30,730.56x = 733,747,368.48
  5. Step 5: Solve for x
    x = 733,747,368.48/30,730.56
  6. Step 6: Final answer
    x = 23,876.80

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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.