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Finding the Fourth Proportional to 47,898.56, 66,095.78 and 27,749

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Solution

The fourth proportional to 47,898.56, 66,095.78 and 27,749 is: 38,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,898.56 : 66,095.78 = 27,749 : x
  2. Step 2: Convert to fraction form
    47,898.56/66,095.78 = 27,749/x
  3. Step 3: Cross multiply
    47,898.56x = 66,095.78 × 27,749
  4. Step 4: Simplify right side
    47,898.56x = 1,834,091,799.22
  5. Step 5: Solve for x
    x = 1,834,091,799.22/47,898.56
  6. Step 6: Final answer
    x = 38,291.17

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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.