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Finding the Fourth Proportional to 77,847.52, 116,772.24 and 22,444

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Solution

The fourth proportional to 77,847.52, 116,772.24 and 22,444 is: 33,666.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,847.52 : 116,772.24 = 22,444 : x
  2. Step 2: Convert to fraction form
    77,847.52/116,772.24 = 22,444/x
  3. Step 3: Cross multiply
    77,847.52x = 116,772.24 × 22,444
  4. Step 4: Simplify right side
    77,847.52x = 2,620,836,154.56
  5. Step 5: Solve for x
    x = 2,620,836,154.56/77,847.52
  6. Step 6: Final answer
    x = 33,666.28

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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.