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Finding the Fourth Proportional to 72,706.61, 109,059.92 and 22,786.70

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Solution

The fourth proportional to 72,706.61, 109,059.92 and 22,786.70 is: 34,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,706.61 : 109,059.92 = 22,786.70 : x
  2. Step 2: Convert to fraction form
    72,706.61/109,059.92 = 22,786.70/x
  3. Step 3: Cross multiply
    72,706.61x = 109,059.92 × 22,786.70
  4. Step 4: Simplify right side
    72,706.61x = 2,485,115,679.06
  5. Step 5: Solve for x
    x = 2,485,115,679.06/72,706.61
  6. Step 6: Final answer
    x = 34,180.05

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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.