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Finding the Fourth Proportional to 103,242.53, 154,845.25 and 27,341.55

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Solution

The fourth proportional to 103,242.53, 154,845.25 and 27,341.55 is: 41,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,242.53 : 154,845.25 = 27,341.55 : x
  2. Step 2: Convert to fraction form
    103,242.53/154,845.25 = 27,341.55/x
  3. Step 3: Cross multiply
    103,242.53x = 154,845.25 × 27,341.55
  4. Step 4: Simplify right side
    103,242.53x = 4,233,709,076.78
  5. Step 5: Solve for x
    x = 4,233,709,076.78/103,242.53
  6. Step 6: Final answer
    x = 41,007.41

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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.