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Finding the Fourth Proportional to 51,228.99, 76,825 and 21,649.11

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Solution

The fourth proportional to 51,228.99, 76,825 and 21,649.11 is: 32,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228.99 : 76,825 = 21,649.11 : x
  2. Step 2: Convert to fraction form
    51,228.99/76,825 = 21,649.11/x
  3. Step 3: Cross multiply
    51,228.99x = 76,825 × 21,649.11
  4. Step 4: Simplify right side
    51,228.99x = 1,663,192,875.75
  5. Step 5: Solve for x
    x = 1,663,192,875.75/51,228.99
  6. Step 6: Final answer
    x = 32,465.85

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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.