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Finding the Fourth Proportional to 50,936, 70,293.84 and 28,580

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Solution

The fourth proportional to 50,936, 70,293.84 and 28,580 is: 39,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,936 : 70,293.84 = 28,580 : x
  2. Step 2: Convert to fraction form
    50,936/70,293.84 = 28,580/x
  3. Step 3: Cross multiply
    50,936x = 70,293.84 × 28,580
  4. Step 4: Simplify right side
    50,936x = 2,008,997,947.20
  5. Step 5: Solve for x
    x = 2,008,997,947.20/50,936
  6. Step 6: Final answer
    x = 39,441.61

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