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Finding the Fourth Proportional to 52,056.41, 71,837.86 and 28,183.07

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Solution

The fourth proportional to 52,056.41, 71,837.86 and 28,183.07 is: 38,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,056.41 : 71,837.86 = 28,183.07 : x
  2. Step 2: Convert to fraction form
    52,056.41/71,837.86 = 28,183.07/x
  3. Step 3: Cross multiply
    52,056.41x = 71,837.86 × 28,183.07
  4. Step 4: Simplify right side
    52,056.41x = 2,024,611,546.17
  5. Step 5: Solve for x
    x = 2,024,611,546.17/52,056.41
  6. Step 6: Final answer
    x = 38,892.65

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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.