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Finding the Fourth Proportional to 77,871.20, 116,826.30 and 22,467.20

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Solution

The fourth proportional to 77,871.20, 116,826.30 and 22,467.20 is: 33,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,871.20 : 116,826.30 = 22,467.20 : x
  2. Step 2: Convert to fraction form
    77,871.20/116,826.30 = 22,467.20/x
  3. Step 3: Cross multiply
    77,871.20x = 116,826.30 × 22,467.20
  4. Step 4: Simplify right side
    77,871.20x = 2,624,759,263.23
  5. Step 5: Solve for x
    x = 2,624,759,263.23/77,871.20
  6. Step 6: Final answer
    x = 33,706.42

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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.