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Finding the Fourth Proportional to 92,823.76, 128,093.36 and 50,381.38

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Solution

The fourth proportional to 92,823.76, 128,093.36 and 50,381.38 is: 69,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,823.76 : 128,093.36 = 50,381.38 : x
  2. Step 2: Convert to fraction form
    92,823.76/128,093.36 = 50,381.38/x
  3. Step 3: Cross multiply
    92,823.76x = 128,093.36 × 50,381.38
  4. Step 4: Simplify right side
    92,823.76x = 6,453,520,245.64
  5. Step 5: Solve for x
    x = 6,453,520,245.64/92,823.76
  6. Step 6: Final answer
    x = 69,524.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.