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Finding the Fourth Proportional to 30,363.25, 45,546.25 and 9,301.76

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Solution

The fourth proportional to 30,363.25, 45,546.25 and 9,301.76 is: 13,953.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,363.25 : 45,546.25 = 9,301.76 : x
  2. Step 2: Convert to fraction form
    30,363.25/45,546.25 = 9,301.76/x
  3. Step 3: Cross multiply
    30,363.25x = 45,546.25 × 9,301.76
  4. Step 4: Simplify right side
    30,363.25x = 423,660,286.40
  5. Step 5: Solve for x
    x = 423,660,286.40/30,363.25
  6. Step 6: Final answer
    x = 13,953.06

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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.