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Finding the Fourth Proportional to 58,213.50, 80,334.63 and 31,717.50

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Solution

The fourth proportional to 58,213.50, 80,334.63 and 31,717.50 is: 43,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,213.50 : 80,334.63 = 31,717.50 : x
  2. Step 2: Convert to fraction form
    58,213.50/80,334.63 = 31,717.50/x
  3. Step 3: Cross multiply
    58,213.50x = 80,334.63 × 31,717.50
  4. Step 4: Simplify right side
    58,213.50x = 2,548,013,627.03
  5. Step 5: Solve for x
    x = 2,548,013,627.03/58,213.50
  6. Step 6: Final answer
    x = 43,770.15

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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.