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Finding the Fourth Proportional to 77,811.46, 116,709.99 and 21,652.42

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Solution

The fourth proportional to 77,811.46, 116,709.99 and 21,652.42 is: 32,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,811.46 : 116,709.99 = 21,652.42 : x
  2. Step 2: Convert to fraction form
    77,811.46/116,709.99 = 21,652.42/x
  3. Step 3: Cross multiply
    77,811.46x = 116,709.99 × 21,652.42
  4. Step 4: Simplify right side
    77,811.46x = 2,527,053,721.68
  5. Step 5: Solve for x
    x = 2,527,053,721.68/77,811.46
  6. Step 6: Final answer
    x = 32,476.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.