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Finding the Fourth Proportional to 47,184.66, 65,109.42 and 27,036

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Solution

The fourth proportional to 47,184.66, 65,109.42 and 27,036 is: 37,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,184.66 : 65,109.42 = 27,036 : x
  2. Step 2: Convert to fraction form
    47,184.66/65,109.42 = 27,036/x
  3. Step 3: Cross multiply
    47,184.66x = 65,109.42 × 27,036
  4. Step 4: Simplify right side
    47,184.66x = 1,760,298,279.12
  5. Step 5: Solve for x
    x = 1,760,298,279.12/47,184.66
  6. Step 6: Final answer
    x = 37,306.58

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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.