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Finding the Fourth Proportional to 51,022.50, 76,538.16 and 14,086.50

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Solution

The fourth proportional to 51,022.50, 76,538.16 and 14,086.50 is: 21,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,022.50 : 76,538.16 = 14,086.50 : x
  2. Step 2: Convert to fraction form
    51,022.50/76,538.16 = 14,086.50/x
  3. Step 3: Cross multiply
    51,022.50x = 76,538.16 × 14,086.50
  4. Step 4: Simplify right side
    51,022.50x = 1,078,154,790.84
  5. Step 5: Solve for x
    x = 1,078,154,790.84/51,022.50
  6. Step 6: Final answer
    x = 21,130.97

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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.