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Finding the Fourth Proportional to 73,924.67, 101,980.49 and 48,420

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Solution

The fourth proportional to 73,924.67, 101,980.49 and 48,420 is: 66,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,924.67 : 101,980.49 = 48,420 : x
  2. Step 2: Convert to fraction form
    73,924.67/101,980.49 = 48,420/x
  3. Step 3: Cross multiply
    73,924.67x = 101,980.49 × 48,420
  4. Step 4: Simplify right side
    73,924.67x = 4,937,895,083.70
  5. Step 5: Solve for x
    x = 4,937,895,083.70/73,924.67
  6. Step 6: Final answer
    x = 66,796.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.