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Finding the Fourth Proportional to 33,697.72, 46,502.42 and 18,591

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Solution

The fourth proportional to 33,697.72, 46,502.42 and 18,591 is: 25,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,697.72 : 46,502.42 = 18,591 : x
  2. Step 2: Convert to fraction form
    33,697.72/46,502.42 = 18,591/x
  3. Step 3: Cross multiply
    33,697.72x = 46,502.42 × 18,591
  4. Step 4: Simplify right side
    33,697.72x = 864,526,490.22
  5. Step 5: Solve for x
    x = 864,526,490.22/33,697.72
  6. Step 6: Final answer
    x = 25,655.34

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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.