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Finding the Fourth Proportional to 48,986.40, 73,498.80 and 17,824.80

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Solution

The fourth proportional to 48,986.40, 73,498.80 and 17,824.80 is: 26,744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,986.40 : 73,498.80 = 17,824.80 : x
  2. Step 2: Convert to fraction form
    48,986.40/73,498.80 = 17,824.80/x
  3. Step 3: Cross multiply
    48,986.40x = 73,498.80 × 17,824.80
  4. Step 4: Simplify right side
    48,986.40x = 1,310,101,410.24
  5. Step 5: Solve for x
    x = 1,310,101,410.24/48,986.40
  6. Step 6: Final answer
    x = 26,744.19

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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.