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Finding the Fourth Proportional to 77,167.52, 115,750.08 and 24,576.56

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Solution

The fourth proportional to 77,167.52, 115,750.08 and 24,576.56 is: 36,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,167.52 : 115,750.08 = 24,576.56 : x
  2. Step 2: Convert to fraction form
    77,167.52/115,750.08 = 24,576.56/x
  3. Step 3: Cross multiply
    77,167.52x = 115,750.08 × 24,576.56
  4. Step 4: Simplify right side
    77,167.52x = 2,844,738,786.12
  5. Step 5: Solve for x
    x = 2,844,738,786.12/77,167.52
  6. Step 6: Final answer
    x = 36,864.46

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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.