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Finding the Fourth Proportional to 48,506.76, 72,761.82 and 13,449

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Solution

The fourth proportional to 48,506.76, 72,761.82 and 13,449 is: 20,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,506.76 : 72,761.82 = 13,449 : x
  2. Step 2: Convert to fraction form
    48,506.76/72,761.82 = 13,449/x
  3. Step 3: Cross multiply
    48,506.76x = 72,761.82 × 13,449
  4. Step 4: Simplify right side
    48,506.76x = 978,573,717.18
  5. Step 5: Solve for x
    x = 978,573,717.18/48,506.76
  6. Step 6: Final answer
    x = 20,173.97

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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.