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Finding the Fourth Proportional to 51,893.68, 77,723.76 and 36,380.56

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Solution

The fourth proportional to 51,893.68, 77,723.76 and 36,380.56 is: 54,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,893.68 : 77,723.76 = 36,380.56 : x
  2. Step 2: Convert to fraction form
    51,893.68/77,723.76 = 36,380.56/x
  3. Step 3: Cross multiply
    51,893.68x = 77,723.76 × 36,380.56
  4. Step 4: Simplify right side
    51,893.68x = 2,827,633,914.11
  5. Step 5: Solve for x
    x = 2,827,633,914.11/51,893.68
  6. Step 6: Final answer
    x = 54,488.98

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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.