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Finding the Fourth Proportional to 51,385.44, 77,093.70 and 36,421.44

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Solution

The fourth proportional to 51,385.44, 77,093.70 and 36,421.44 is: 54,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,385.44 : 77,093.70 = 36,421.44 : x
  2. Step 2: Convert to fraction form
    51,385.44/77,093.70 = 36,421.44/x
  3. Step 3: Cross multiply
    51,385.44x = 77,093.70 × 36,421.44
  4. Step 4: Simplify right side
    51,385.44x = 2,807,863,568.93
  5. Step 5: Solve for x
    x = 2,807,863,568.93/51,385.44
  6. Step 6: Final answer
    x = 54,643.17

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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.