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Finding the Fourth Proportional to 55,708.22, 76,881.42 and 31,834.40

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Solution

The fourth proportional to 55,708.22, 76,881.42 and 31,834.40 is: 43,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,708.22 : 76,881.42 = 31,834.40 : x
  2. Step 2: Convert to fraction form
    55,708.22/76,881.42 = 31,834.40/x
  3. Step 3: Cross multiply
    55,708.22x = 76,881.42 × 31,834.40
  4. Step 4: Simplify right side
    55,708.22x = 2,447,473,876.85
  5. Step 5: Solve for x
    x = 2,447,473,876.85/55,708.22
  6. Step 6: Final answer
    x = 43,933.80

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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.