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Finding the Fourth Proportional to 55,213.50, 76,194.98 and 31,340.57

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Solution

The fourth proportional to 55,213.50, 76,194.98 and 31,340.57 is: 43,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,213.50 : 76,194.98 = 31,340.57 : x
  2. Step 2: Convert to fraction form
    55,213.50/76,194.98 = 31,340.57/x
  3. Step 3: Cross multiply
    55,213.50x = 76,194.98 × 31,340.57
  4. Step 4: Simplify right side
    55,213.50x = 2,387,994,373.18
  5. Step 5: Solve for x
    x = 2,387,994,373.18/55,213.50
  6. Step 6: Final answer
    x = 43,250.19

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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.