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Finding the Fourth Proportional to 48,654.75, 72,982.13 and 11,718.75

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Solution

The fourth proportional to 48,654.75, 72,982.13 and 11,718.75 is: 17,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,654.75 : 72,982.13 = 11,718.75 : x
  2. Step 2: Convert to fraction form
    48,654.75/72,982.13 = 11,718.75/x
  3. Step 3: Cross multiply
    48,654.75x = 72,982.13 × 11,718.75
  4. Step 4: Simplify right side
    48,654.75x = 855,259,277.34
  5. Step 5: Solve for x
    x = 855,259,277.34/48,654.75
  6. Step 6: Final answer
    x = 17,578.13

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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.