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Finding the Fourth Proportional to 47,538.80, 65,614.56 and 31,623.92

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Solution

The fourth proportional to 47,538.80, 65,614.56 and 31,623.92 is: 43,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,538.80 : 65,614.56 = 31,623.92 : x
  2. Step 2: Convert to fraction form
    47,538.80/65,614.56 = 31,623.92/x
  3. Step 3: Cross multiply
    47,538.80x = 65,614.56 × 31,623.92
  4. Step 4: Simplify right side
    47,538.80x = 2,074,989,596.28
  5. Step 5: Solve for x
    x = 2,074,989,596.28/47,538.80
  6. Step 6: Final answer
    x = 43,648.34

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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.