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Finding the Fourth Proportional to 72,206.76, 108,270.49 and 22,273

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Solution

The fourth proportional to 72,206.76, 108,270.49 and 22,273 is: 33,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,206.76 : 108,270.49 = 22,273 : x
  2. Step 2: Convert to fraction form
    72,206.76/108,270.49 = 22,273/x
  3. Step 3: Cross multiply
    72,206.76x = 108,270.49 × 22,273
  4. Step 4: Simplify right side
    72,206.76x = 2,411,508,623.77
  5. Step 5: Solve for x
    x = 2,411,508,623.77/72,206.76
  6. Step 6: Final answer
    x = 33,397.27

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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.