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Finding the Fourth Proportional to 52,096.16, 71,892.77 and 28,222.63

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Solution

The fourth proportional to 52,096.16, 71,892.77 and 28,222.63 is: 38,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096.16 : 71,892.77 = 28,222.63 : x
  2. Step 2: Convert to fraction form
    52,096.16/71,892.77 = 28,222.63/x
  3. Step 3: Cross multiply
    52,096.16x = 71,892.77 × 28,222.63
  4. Step 4: Simplify right side
    52,096.16x = 2,029,002,726.54
  5. Step 5: Solve for x
    x = 2,029,002,726.54/52,096.16
  6. Step 6: Final answer
    x = 38,947.26

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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.