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Finding the Fourth Proportional to 31,381.80, 47,298.31 and 27,051.56

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Solution

The fourth proportional to 31,381.80, 47,298.31 and 27,051.56 is: 40,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381.80 : 47,298.31 = 27,051.56 : x
  2. Step 2: Convert to fraction form
    31,381.80/47,298.31 = 27,051.56/x
  3. Step 3: Cross multiply
    31,381.80x = 47,298.31 × 27,051.56
  4. Step 4: Simplify right side
    31,381.80x = 1,279,493,070.86
  5. Step 5: Solve for x
    x = 1,279,493,070.86/31,381.80
  6. Step 6: Final answer
    x = 40,771.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.