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Finding the Fourth Proportional to 51,814.64, 71,509.74 and 31,683.32

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Solution

The fourth proportional to 51,814.64, 71,509.74 and 31,683.32 is: 43,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,814.64 : 71,509.74 = 31,683.32 : x
  2. Step 2: Convert to fraction form
    51,814.64/71,509.74 = 31,683.32/x
  3. Step 3: Cross multiply
    51,814.64x = 71,509.74 × 31,683.32
  4. Step 4: Simplify right side
    51,814.64x = 2,265,665,975.54
  5. Step 5: Solve for x
    x = 2,265,665,975.54/51,814.64
  6. Step 6: Final answer
    x = 43,726.37

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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.