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Finding the Fourth Proportional to 30,146.76, 45,230.94 and 10,427.28

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Solution

The fourth proportional to 30,146.76, 45,230.94 and 10,427.28 is: 15,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.76 : 45,230.94 = 10,427.28 : x
  2. Step 2: Convert to fraction form
    30,146.76/45,230.94 = 10,427.28/x
  3. Step 3: Cross multiply
    30,146.76x = 45,230.94 × 10,427.28
  4. Step 4: Simplify right side
    30,146.76x = 471,635,676.04
  5. Step 5: Solve for x
    x = 471,635,676.04/30,146.76
  6. Step 6: Final answer
    x = 15,644.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.