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Finding the Fourth Proportional to 51,693.26, 71,343.32 and 31,545.86

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Solution

The fourth proportional to 51,693.26, 71,343.32 and 31,545.86 is: 43,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,693.26 : 71,343.32 = 31,545.86 : x
  2. Step 2: Convert to fraction form
    51,693.26/71,343.32 = 31,545.86/x
  3. Step 3: Cross multiply
    51,693.26x = 71,343.32 × 31,545.86
  4. Step 4: Simplify right side
    51,693.26x = 2,250,585,870.21
  5. Step 5: Solve for x
    x = 2,250,585,870.21/51,693.26
  6. Step 6: Final answer
    x = 43,537.32

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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.