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Finding the Fourth Proportional to 47,842.12, 66,014.64 and 27,695.08

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Solution

The fourth proportional to 47,842.12, 66,014.64 and 27,695.08 is: 38,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,842.12 : 66,014.64 = 27,695.08 : x
  2. Step 2: Convert to fraction form
    47,842.12/66,014.64 = 27,695.08/x
  3. Step 3: Cross multiply
    47,842.12x = 66,014.64 × 27,695.08
  4. Step 4: Simplify right side
    47,842.12x = 1,828,280,735.97
  5. Step 5: Solve for x
    x = 1,828,280,735.97/47,842.12
  6. Step 6: Final answer
    x = 38,214.88

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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.