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Finding the Fourth Proportional to 30,800.54, 42,504.73 and 17,371.76

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Solution

The fourth proportional to 30,800.54, 42,504.73 and 17,371.76 is: 23,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.54 : 42,504.73 = 17,371.76 : x
  2. Step 2: Convert to fraction form
    30,800.54/42,504.73 = 17,371.76/x
  3. Step 3: Cross multiply
    30,800.54x = 42,504.73 × 17,371.76
  4. Step 4: Simplify right side
    30,800.54x = 738,381,968.42
  5. Step 5: Solve for x
    x = 738,381,968.42/30,800.54
  6. Step 6: Final answer
    x = 23,973.02

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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.