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Finding the Fourth Proportional to 30,889.54, 42,627.72 and 16,742.26

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Solution

The fourth proportional to 30,889.54, 42,627.72 and 16,742.26 is: 23,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.54 : 42,627.72 = 16,742.26 : x
  2. Step 2: Convert to fraction form
    30,889.54/42,627.72 = 16,742.26/x
  3. Step 3: Cross multiply
    30,889.54x = 42,627.72 × 16,742.26
  4. Step 4: Simplify right side
    30,889.54x = 713,684,371.45
  5. Step 5: Solve for x
    x = 713,684,371.45/30,889.54
  6. Step 6: Final answer
    x = 23,104.40

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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.