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Finding the Fourth Proportional to 47,023.52, 64,882.32 and 27,140

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Solution

The fourth proportional to 47,023.52, 64,882.32 and 27,140 is: 37,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,023.52 : 64,882.32 = 27,140 : x
  2. Step 2: Convert to fraction form
    47,023.52/64,882.32 = 27,140/x
  3. Step 3: Cross multiply
    47,023.52x = 64,882.32 × 27,140
  4. Step 4: Simplify right side
    47,023.52x = 1,760,906,164.80
  5. Step 5: Solve for x
    x = 1,760,906,164.80/47,023.52
  6. Step 6: Final answer
    x = 37,447.35

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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.