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Finding the Fourth Proportional to 50,834, 70,150.96 and 28,478

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Solution

The fourth proportional to 50,834, 70,150.96 and 28,478 is: 39,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,834 : 70,150.96 = 28,478 : x
  2. Step 2: Convert to fraction form
    50,834/70,150.96 = 28,478/x
  3. Step 3: Cross multiply
    50,834x = 70,150.96 × 28,478
  4. Step 4: Simplify right side
    50,834x = 1,997,759,038.88
  5. Step 5: Solve for x
    x = 1,997,759,038.88/50,834
  6. Step 6: Final answer
    x = 39,299.66

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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.