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Finding the Fourth Proportional to 48,852.80, 73,234.80 and 17,666

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Solution

The fourth proportional to 48,852.80, 73,234.80 and 17,666 is: 26,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,852.80 : 73,234.80 = 17,666 : x
  2. Step 2: Convert to fraction form
    48,852.80/73,234.80 = 17,666/x
  3. Step 3: Cross multiply
    48,852.80x = 73,234.80 × 17,666
  4. Step 4: Simplify right side
    48,852.80x = 1,293,765,976.80
  5. Step 5: Solve for x
    x = 1,293,765,976.80/48,852.80
  6. Step 6: Final answer
    x = 26,482.94

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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.