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Finding the Fourth Proportional to 40,522.34, 55,946.51 and 27,796.84

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Solution

The fourth proportional to 40,522.34, 55,946.51 and 27,796.84 is: 38,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,522.34 : 55,946.51 = 27,796.84 : x
  2. Step 2: Convert to fraction form
    40,522.34/55,946.51 = 27,796.84/x
  3. Step 3: Cross multiply
    40,522.34x = 55,946.51 × 27,796.84
  4. Step 4: Simplify right side
    40,522.34x = 1,555,136,187.03
  5. Step 5: Solve for x
    x = 1,555,136,187.03/40,522.34
  6. Step 6: Final answer
    x = 38,377.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.