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Finding the Fourth Proportional to 48,412.26, 66,808.50 and 27,993.84

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Solution

The fourth proportional to 48,412.26, 66,808.50 and 27,993.84 is: 38,631.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,412.26 : 66,808.50 = 27,993.84 : x
  2. Step 2: Convert to fraction form
    48,412.26/66,808.50 = 27,993.84/x
  3. Step 3: Cross multiply
    48,412.26x = 66,808.50 × 27,993.84
  4. Step 4: Simplify right side
    48,412.26x = 1,870,226,459.64
  5. Step 5: Solve for x
    x = 1,870,226,459.64/48,412.26
  6. Step 6: Final answer
    x = 38,631.26

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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.