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Finding the Fourth Proportional to 30,628.54, 42,267.22 and 17,200.97

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Solution

The fourth proportional to 30,628.54, 42,267.22 and 17,200.97 is: 23,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,628.54 : 42,267.22 = 17,200.97 : x
  2. Step 2: Convert to fraction form
    30,628.54/42,267.22 = 17,200.97/x
  3. Step 3: Cross multiply
    30,628.54x = 42,267.22 × 17,200.97
  4. Step 4: Simplify right side
    30,628.54x = 727,036,885.86
  5. Step 5: Solve for x
    x = 727,036,885.86/30,628.54
  6. Step 6: Final answer
    x = 23,737.24

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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.