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Finding the Fourth Proportional to 30,324.25, 45,430.96 and 21,983.58

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Solution

The fourth proportional to 30,324.25, 45,430.96 and 21,983.58 is: 32,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,324.25 : 45,430.96 = 21,983.58 : x
  2. Step 2: Convert to fraction form
    30,324.25/45,430.96 = 21,983.58/x
  3. Step 3: Cross multiply
    30,324.25x = 45,430.96 × 21,983.58
  4. Step 4: Simplify right side
    30,324.25x = 998,735,143.64
  5. Step 5: Solve for x
    x = 998,735,143.64/30,324.25
  6. Step 6: Final answer
    x = 32,935.20

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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.