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Finding the Fourth Proportional to 47,267, 65,226.42 and 27,109.88

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Solution

The fourth proportional to 47,267, 65,226.42 and 27,109.88 is: 37,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,267 : 65,226.42 = 27,109.88 : x
  2. Step 2: Convert to fraction form
    47,267/65,226.42 = 27,109.88/x
  3. Step 3: Cross multiply
    47,267x = 65,226.42 × 27,109.88
  4. Step 4: Simplify right side
    47,267x = 1,768,280,419.03
  5. Step 5: Solve for x
    x = 1,768,280,419.03/47,267
  6. Step 6: Final answer
    x = 37,410.46

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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.