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Finding the Fourth Proportional to 55,338.63, 83,020.24 and 15,892.74

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Solution

The fourth proportional to 55,338.63, 83,020.24 and 15,892.74 is: 23,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,338.63 : 83,020.24 = 15,892.74 : x
  2. Step 2: Convert to fraction form
    55,338.63/83,020.24 = 15,892.74/x
  3. Step 3: Cross multiply
    55,338.63x = 83,020.24 × 15,892.74
  4. Step 4: Simplify right side
    55,338.63x = 1,319,419,108.92
  5. Step 5: Solve for x
    x = 1,319,419,108.92/55,338.63
  6. Step 6: Final answer
    x = 23,842.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.