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Finding the Fourth Proportional to 85,738.50, 128,627.19 and 30,334.50

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Solution

The fourth proportional to 85,738.50, 128,627.19 and 30,334.50 is: 45,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,738.50 : 128,627.19 = 30,334.50 : x
  2. Step 2: Convert to fraction form
    85,738.50/128,627.19 = 30,334.50/x
  3. Step 3: Cross multiply
    85,738.50x = 128,627.19 × 30,334.50
  4. Step 4: Simplify right side
    85,738.50x = 3,901,841,495.06
  5. Step 5: Solve for x
    x = 3,901,841,495.06/85,738.50
  6. Step 6: Final answer
    x = 45,508.63

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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.