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Finding the Fourth Proportional to 31,871.44, 47,814.54 and 10,810.36

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Solution

The fourth proportional to 31,871.44, 47,814.54 and 10,810.36 is: 16,218.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.44 : 47,814.54 = 10,810.36 : x
  2. Step 2: Convert to fraction form
    31,871.44/47,814.54 = 10,810.36/x
  3. Step 3: Cross multiply
    31,871.44x = 47,814.54 × 10,810.36
  4. Step 4: Simplify right side
    31,871.44x = 516,892,390.63
  5. Step 5: Solve for x
    x = 516,892,390.63/31,871.44
  6. Step 6: Final answer
    x = 16,218.04

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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.