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Finding the Fourth Proportional to 49,861.44, 68,813.28 and 34,776

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Solution

The fourth proportional to 49,861.44, 68,813.28 and 34,776 is: 47,994.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,861.44 : 68,813.28 = 34,776 : x
  2. Step 2: Convert to fraction form
    49,861.44/68,813.28 = 34,776/x
  3. Step 3: Cross multiply
    49,861.44x = 68,813.28 × 34,776
  4. Step 4: Simplify right side
    49,861.44x = 2,393,050,625.28
  5. Step 5: Solve for x
    x = 2,393,050,625.28/49,861.44
  6. Step 6: Final answer
    x = 47,994.01

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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.