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Finding the Fourth Proportional to 71,834.48, 107,734.40 and 31,831.44

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Solution

The fourth proportional to 71,834.48, 107,734.40 and 31,831.44 is: 47,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,834.48 : 107,734.40 = 31,831.44 : x
  2. Step 2: Convert to fraction form
    71,834.48/107,734.40 = 31,831.44/x
  3. Step 3: Cross multiply
    71,834.48x = 107,734.40 × 31,831.44
  4. Step 4: Simplify right side
    71,834.48x = 3,429,341,089.54
  5. Step 5: Solve for x
    x = 3,429,341,089.54/71,834.48
  6. Step 6: Final answer
    x = 47,739.49

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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.