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Finding the Fourth Proportional to 30,676.28, 42,334.76 and 17,251.76

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Solution

The fourth proportional to 30,676.28, 42,334.76 and 17,251.76 is: 23,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.28 : 42,334.76 = 17,251.76 : x
  2. Step 2: Convert to fraction form
    30,676.28/42,334.76 = 17,251.76/x
  3. Step 3: Cross multiply
    30,676.28x = 42,334.76 × 17,251.76
  4. Step 4: Simplify right side
    30,676.28x = 730,349,119.18
  5. Step 5: Solve for x
    x = 730,349,119.18/30,676.28
  6. Step 6: Final answer
    x = 23,808.27

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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.