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Finding the Fourth Proportional to 30,146.54, 45,219.78 and 10,425.24

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Solution

The fourth proportional to 30,146.54, 45,219.78 and 10,425.24 is: 15,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.54 : 45,219.78 = 10,425.24 : x
  2. Step 2: Convert to fraction form
    30,146.54/45,219.78 = 10,425.24/x
  3. Step 3: Cross multiply
    30,146.54x = 45,219.78 × 10,425.24
  4. Step 4: Simplify right side
    30,146.54x = 471,427,059.25
  5. Step 5: Solve for x
    x = 471,427,059.25/30,146.54
  6. Step 6: Final answer
    x = 15,637.85

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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.