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Finding the Fourth Proportional to 47,676.90, 65,797.26 and 27,534.63

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Solution

The fourth proportional to 47,676.90, 65,797.26 and 27,534.63 is: 37,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676.90 : 65,797.26 = 27,534.63 : x
  2. Step 2: Convert to fraction form
    47,676.90/65,797.26 = 27,534.63/x
  3. Step 3: Cross multiply
    47,676.90x = 65,797.26 × 27,534.63
  4. Step 4: Simplify right side
    47,676.90x = 1,811,703,209.11
  5. Step 5: Solve for x
    x = 1,811,703,209.11/47,676.90
  6. Step 6: Final answer
    x = 37,999.60

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