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Finding the Fourth Proportional to 52,096.01, 71,892.77 and 28,222.74

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Solution

The fourth proportional to 52,096.01, 71,892.77 and 28,222.74 is: 38,947.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096.01 : 71,892.77 = 28,222.74 : x
  2. Step 2: Convert to fraction form
    52,096.01/71,892.77 = 28,222.74/x
  3. Step 3: Cross multiply
    52,096.01x = 71,892.77 × 28,222.74
  4. Step 4: Simplify right side
    52,096.01x = 2,029,010,814.48
  5. Step 5: Solve for x
    x = 2,029,010,814.48/52,096.01
  6. Step 6: Final answer
    x = 38,947.53

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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.