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Finding the Fourth Proportional to 30,551.20, 45,821.76 and 9,772

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Solution

The fourth proportional to 30,551.20, 45,821.76 and 9,772 is: 14,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,551.20 : 45,821.76 = 9,772 : x
  2. Step 2: Convert to fraction form
    30,551.20/45,821.76 = 9,772/x
  3. Step 3: Cross multiply
    30,551.20x = 45,821.76 × 9,772
  4. Step 4: Simplify right side
    30,551.20x = 447,770,238.72
  5. Step 5: Solve for x
    x = 447,770,238.72/30,551.20
  6. Step 6: Final answer
    x = 14,656.39

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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.