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Finding the Fourth Proportional to 48,858.12, 67,419.54 and 27,633.24

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Solution

The fourth proportional to 48,858.12, 67,419.54 and 27,633.24 is: 38,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,858.12 : 67,419.54 = 27,633.24 : x
  2. Step 2: Convert to fraction form
    48,858.12/67,419.54 = 27,633.24/x
  3. Step 3: Cross multiply
    48,858.12x = 67,419.54 × 27,633.24
  4. Step 4: Simplify right side
    48,858.12x = 1,863,020,329.51
  5. Step 5: Solve for x
    x = 1,863,020,329.51/48,858.12
  6. Step 6: Final answer
    x = 38,131.23

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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.