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Finding the Fourth Proportional to 30,556.92, 45,775.74 and 14,523.66

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Solution

The fourth proportional to 30,556.92, 45,775.74 and 14,523.66 is: 21,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,556.92 : 45,775.74 = 14,523.66 : x
  2. Step 2: Convert to fraction form
    30,556.92/45,775.74 = 14,523.66/x
  3. Step 3: Cross multiply
    30,556.92x = 45,775.74 × 14,523.66
  4. Step 4: Simplify right side
    30,556.92x = 664,831,284.01
  5. Step 5: Solve for x
    x = 664,831,284.01/30,556.92
  6. Step 6: Final answer
    x = 21,757.14

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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.