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Finding the Fourth Proportional to 84,825.81, 127,245.39 and 22,496.31

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Solution

The fourth proportional to 84,825.81, 127,245.39 and 22,496.31 is: 33,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,825.81 : 127,245.39 = 22,496.31 : x
  2. Step 2: Convert to fraction form
    84,825.81/127,245.39 = 22,496.31/x
  3. Step 3: Cross multiply
    84,825.81x = 127,245.39 × 22,496.31
  4. Step 4: Simplify right side
    84,825.81x = 2,862,551,739.51
  5. Step 5: Solve for x
    x = 2,862,551,739.51/84,825.81
  6. Step 6: Final answer
    x = 33,746.24

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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.