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Finding the Fourth Proportional to 30,877.76, 42,615.20 and 17,449.60

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Solution

The fourth proportional to 30,877.76, 42,615.20 and 17,449.60 is: 24,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.76 : 42,615.20 = 17,449.60 : x
  2. Step 2: Convert to fraction form
    30,877.76/42,615.20 = 17,449.60/x
  3. Step 3: Cross multiply
    30,877.76x = 42,615.20 × 17,449.60
  4. Step 4: Simplify right side
    30,877.76x = 743,618,193.92
  5. Step 5: Solve for x
    x = 743,618,193.92/30,877.76
  6. Step 6: Final answer
    x = 24,082.65

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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.