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Finding the Fourth Proportional to 30,902.92, 42,645.89 and 16,755.76

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Solution

The fourth proportional to 30,902.92, 42,645.89 and 16,755.76 is: 23,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.92 : 42,645.89 = 16,755.76 : x
  2. Step 2: Convert to fraction form
    30,902.92/42,645.89 = 16,755.76/x
  3. Step 3: Cross multiply
    30,902.92x = 42,645.89 × 16,755.76
  4. Step 4: Simplify right side
    30,902.92x = 714,564,393.02
  5. Step 5: Solve for x
    x = 714,564,393.02/30,902.92
  6. Step 6: Final answer
    x = 23,122.88

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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.