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Finding the Fourth Proportional to 30,889.49, 42,627.33 and 16,742.30

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Solution

The fourth proportional to 30,889.49, 42,627.33 and 16,742.30 is: 23,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.49 : 42,627.33 = 16,742.30 : x
  2. Step 2: Convert to fraction form
    30,889.49/42,627.33 = 16,742.30/x
  3. Step 3: Cross multiply
    30,889.49x = 42,627.33 × 16,742.30
  4. Step 4: Simplify right side
    30,889.49x = 713,679,333.92
  5. Step 5: Solve for x
    x = 713,679,333.92/30,889.49
  6. Step 6: Final answer
    x = 23,104.28

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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.