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Finding the Fourth Proportional to 54,748.81, 82,091.78 and 21,429.87

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Solution

The fourth proportional to 54,748.81, 82,091.78 and 21,429.87 is: 32,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,748.81 : 82,091.78 = 21,429.87 : x
  2. Step 2: Convert to fraction form
    54,748.81/82,091.78 = 21,429.87/x
  3. Step 3: Cross multiply
    54,748.81x = 82,091.78 × 21,429.87
  4. Step 4: Simplify right side
    54,748.81x = 1,759,215,838.84
  5. Step 5: Solve for x
    x = 1,759,215,838.84/54,748.81
  6. Step 6: Final answer
    x = 32,132.49

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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.