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Finding the Fourth Proportional to 27,270.70, 40,848.45 and 22,662.70

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Solution

The fourth proportional to 27,270.70, 40,848.45 and 22,662.70 is: 33,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270.70 : 40,848.45 = 22,662.70 : x
  2. Step 2: Convert to fraction form
    27,270.70/40,848.45 = 22,662.70/x
  3. Step 3: Cross multiply
    27,270.70x = 40,848.45 × 22,662.70
  4. Step 4: Simplify right side
    27,270.70x = 925,736,167.82
  5. Step 5: Solve for x
    x = 925,736,167.82/27,270.70
  6. Step 6: Final answer
    x = 33,946.18

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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.