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Finding the Fourth Proportional to 54,813.81, 82,213.89 and 15,374.00

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Solution

The fourth proportional to 54,813.81, 82,213.89 and 15,374.00 is: 23,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,813.81 : 82,213.89 = 15,374.00 : x
  2. Step 2: Convert to fraction form
    54,813.81/82,213.89 = 15,374.00/x
  3. Step 3: Cross multiply
    54,813.81x = 82,213.89 × 15,374.00
  4. Step 4: Simplify right side
    54,813.81x = 1,263,956,492.74
  5. Step 5: Solve for x
    x = 1,263,956,492.74/54,813.81
  6. Step 6: Final answer
    x = 23,059.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.