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Finding the Fourth Proportional to 76,361.40, 105,433.38 and 50,927.82

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Solution

The fourth proportional to 76,361.40, 105,433.38 and 50,927.82 is: 70,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,361.40 : 105,433.38 = 50,927.82 : x
  2. Step 2: Convert to fraction form
    76,361.40/105,433.38 = 50,927.82/x
  3. Step 3: Cross multiply
    76,361.40x = 105,433.38 × 50,927.82
  4. Step 4: Simplify right side
    76,361.40x = 5,369,492,198.63
  5. Step 5: Solve for x
    x = 5,369,492,198.63/76,361.40
  6. Step 6: Final answer
    x = 70,316.84

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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.