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Finding the Fourth Proportional to 114,943.86, 172,431.99 and 43,861.50

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Solution

The fourth proportional to 114,943.86, 172,431.99 and 43,861.50 is: 65,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,943.86 : 172,431.99 = 43,861.50 : x
  2. Step 2: Convert to fraction form
    114,943.86/172,431.99 = 43,861.50/x
  3. Step 3: Cross multiply
    114,943.86x = 172,431.99 × 43,861.50
  4. Step 4: Simplify right side
    114,943.86x = 7,563,125,729.39
  5. Step 5: Solve for x
    x = 7,563,125,729.39/114,943.86
  6. Step 6: Final answer
    x = 65,798.43

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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.