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Finding the Fourth Proportional to 54,701.76, 82,052.62 and 13,148.76

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Solution

The fourth proportional to 54,701.76, 82,052.62 and 13,148.76 is: 19,723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,701.76 : 82,052.62 = 13,148.76 : x
  2. Step 2: Convert to fraction form
    54,701.76/82,052.62 = 13,148.76/x
  3. Step 3: Cross multiply
    54,701.76x = 82,052.62 × 13,148.76
  4. Step 4: Simplify right side
    54,701.76x = 1,078,890,207.75
  5. Step 5: Solve for x
    x = 1,078,890,207.75/54,701.76
  6. Step 6: Final answer
    x = 19,723.14

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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.