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Finding the Fourth Proportional to 72,706.16, 109,059.04 and 22,786.47

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Solution

The fourth proportional to 72,706.16, 109,059.04 and 22,786.47 is: 34,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,706.16 : 109,059.04 = 22,786.47 : x
  2. Step 2: Convert to fraction form
    72,706.16/109,059.04 = 22,786.47/x
  3. Step 3: Cross multiply
    72,706.16x = 109,059.04 × 22,786.47
  4. Step 4: Simplify right side
    72,706.16x = 2,485,070,571.67
  5. Step 5: Solve for x
    x = 2,485,070,571.67/72,706.16
  6. Step 6: Final answer
    x = 34,179.64

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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.