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Finding the Fourth Proportional to 55,232.70, 82,849.05 and 15,791.10

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Solution

The fourth proportional to 55,232.70, 82,849.05 and 15,791.10 is: 23,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,232.70 : 82,849.05 = 15,791.10 : x
  2. Step 2: Convert to fraction form
    55,232.70/82,849.05 = 15,791.10/x
  3. Step 3: Cross multiply
    55,232.70x = 82,849.05 × 15,791.10
  4. Step 4: Simplify right side
    55,232.70x = 1,308,277,633.46
  5. Step 5: Solve for x
    x = 1,308,277,633.46/55,232.70
  6. Step 6: Final answer
    x = 23,686.65

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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.