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Finding the Fourth Proportional to 86,346.50, 119,158.17 and 50,534.78

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Solution

The fourth proportional to 86,346.50, 119,158.17 and 50,534.78 is: 69,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,346.50 : 119,158.17 = 50,534.78 : x
  2. Step 2: Convert to fraction form
    86,346.50/119,158.17 = 50,534.78/x
  3. Step 3: Cross multiply
    86,346.50x = 119,158.17 × 50,534.78
  4. Step 4: Simplify right side
    86,346.50x = 6,021,631,906.15
  5. Step 5: Solve for x
    x = 6,021,631,906.15/86,346.50
  6. Step 6: Final answer
    x = 69,738.00

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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.