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Finding the Fourth Proportional to 33,658.12, 46,447.14 and 20,047.24

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Solution

The fourth proportional to 33,658.12, 46,447.14 and 20,047.24 is: 27,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,658.12 : 46,447.14 = 20,047.24 : x
  2. Step 2: Convert to fraction form
    33,658.12/46,447.14 = 20,047.24/x
  3. Step 3: Cross multiply
    33,658.12x = 46,447.14 × 20,047.24
  4. Step 4: Simplify right side
    33,658.12x = 931,136,962.89
  5. Step 5: Solve for x
    x = 931,136,962.89/33,658.12
  6. Step 6: Final answer
    x = 27,664.56

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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.