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Finding the Fourth Proportional to 38,355, 52,954.14 and 29,385.84

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Solution

The fourth proportional to 38,355, 52,954.14 and 29,385.84 is: 40,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,355 : 52,954.14 = 29,385.84 : x
  2. Step 2: Convert to fraction form
    38,355/52,954.14 = 29,385.84/x
  3. Step 3: Cross multiply
    38,355x = 52,954.14 × 29,385.84
  4. Step 4: Simplify right side
    38,355x = 1,556,101,885.38
  5. Step 5: Solve for x
    x = 1,556,101,885.38/38,355
  6. Step 6: Final answer
    x = 40,571.03

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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.