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Finding the Fourth Proportional to 45,129.49, 67,694.23 and 11,849.50

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Solution

The fourth proportional to 45,129.49, 67,694.23 and 11,849.50 is: 17,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,129.49 : 67,694.23 = 11,849.50 : x
  2. Step 2: Convert to fraction form
    45,129.49/67,694.23 = 11,849.50/x
  3. Step 3: Cross multiply
    45,129.49x = 67,694.23 × 11,849.50
  4. Step 4: Simplify right side
    45,129.49x = 802,142,507.14
  5. Step 5: Solve for x
    x = 802,142,507.14/45,129.49
  6. Step 6: Final answer
    x = 17,774.24

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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.