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Finding the Fourth Proportional to 54,744.84, 82,129.58 and 19,684.50

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Solution

The fourth proportional to 54,744.84, 82,129.58 and 19,684.50 is: 29,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,744.84 : 82,129.58 = 19,684.50 : x
  2. Step 2: Convert to fraction form
    54,744.84/82,129.58 = 19,684.50/x
  3. Step 3: Cross multiply
    54,744.84x = 82,129.58 × 19,684.50
  4. Step 4: Simplify right side
    54,744.84x = 1,616,679,619.09
  5. Step 5: Solve for x
    x = 1,616,679,619.09/54,744.84
  6. Step 6: Final answer
    x = 29,531.18

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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.