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Finding the Fourth Proportional to 51,803.82, 77,722.11 and 18,523.14

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Solution

The fourth proportional to 51,803.82, 77,722.11 and 18,523.14 is: 27,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803.82 : 77,722.11 = 18,523.14 : x
  2. Step 2: Convert to fraction form
    51,803.82/77,722.11 = 18,523.14/x
  3. Step 3: Cross multiply
    51,803.82x = 77,722.11 × 18,523.14
  4. Step 4: Simplify right side
    51,803.82x = 1,439,657,524.63
  5. Step 5: Solve for x
    x = 1,439,657,524.63/51,803.82
  6. Step 6: Final answer
    x = 27,790.57

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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.