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Finding the Fourth Proportional to 47,266.36, 65,237 and 27,136.84

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Solution

The fourth proportional to 47,266.36, 65,237 and 27,136.84 is: 37,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,266.36 : 65,237 = 27,136.84 : x
  2. Step 2: Convert to fraction form
    47,266.36/65,237 = 27,136.84/x
  3. Step 3: Cross multiply
    47,266.36x = 65,237 × 27,136.84
  4. Step 4: Simplify right side
    47,266.36x = 1,770,326,031.08
  5. Step 5: Solve for x
    x = 1,770,326,031.08/47,266.36
  6. Step 6: Final answer
    x = 37,454.25

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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.