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Finding the Fourth Proportional to 30,605.28, 45,902.40 and 8,415.78

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Solution

The fourth proportional to 30,605.28, 45,902.40 and 8,415.78 is: 12,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,605.28 : 45,902.40 = 8,415.78 : x
  2. Step 2: Convert to fraction form
    30,605.28/45,902.40 = 8,415.78/x
  3. Step 3: Cross multiply
    30,605.28x = 45,902.40 × 8,415.78
  4. Step 4: Simplify right side
    30,605.28x = 386,304,499.87
  5. Step 5: Solve for x
    x = 386,304,499.87/30,605.28
  6. Step 6: Final answer
    x = 12,622.15

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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.