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Finding the Fourth Proportional to 30,961.54, 42,740 and 20,903.60

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Solution

The fourth proportional to 30,961.54, 42,740 and 20,903.60 is: 28,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.54 : 42,740 = 20,903.60 : x
  2. Step 2: Convert to fraction form
    30,961.54/42,740 = 20,903.60/x
  3. Step 3: Cross multiply
    30,961.54x = 42,740 × 20,903.60
  4. Step 4: Simplify right side
    30,961.54x = 893,419,864.00
  5. Step 5: Solve for x
    x = 893,419,864.00/30,961.54
  6. Step 6: Final answer
    x = 28,855.80

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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.