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Finding the Fourth Proportional to 31,405.20, 47,034.90 and 21,490.80

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Solution

The fourth proportional to 31,405.20, 47,034.90 and 21,490.80 is: 32,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.20 : 47,034.90 = 21,490.80 : x
  2. Step 2: Convert to fraction form
    31,405.20/47,034.90 = 21,490.80/x
  3. Step 3: Cross multiply
    31,405.20x = 47,034.90 × 21,490.80
  4. Step 4: Simplify right side
    31,405.20x = 1,010,817,628.92
  5. Step 5: Solve for x
    x = 1,010,817,628.92/31,405.20
  6. Step 6: Final answer
    x = 32,186.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.