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Finding the Fourth Proportional to 47,329.30, 65,314.50 and 27,190.10

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Solution

The fourth proportional to 47,329.30, 65,314.50 and 27,190.10 is: 37,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,329.30 : 65,314.50 = 27,190.10 : x
  2. Step 2: Convert to fraction form
    47,329.30/65,314.50 = 27,190.10/x
  3. Step 3: Cross multiply
    47,329.30x = 65,314.50 × 27,190.10
  4. Step 4: Simplify right side
    47,329.30x = 1,775,907,786.45
  5. Step 5: Solve for x
    x = 1,775,907,786.45/47,329.30
  6. Step 6: Final answer
    x = 37,522.38

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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.