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Finding the Fourth Proportional to 84,476.82, 126,743.38 and 28,322.48

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Solution

The fourth proportional to 84,476.82, 126,743.38 and 28,322.48 is: 42,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,476.82 : 126,743.38 = 28,322.48 : x
  2. Step 2: Convert to fraction form
    84,476.82/126,743.38 = 28,322.48/x
  3. Step 3: Cross multiply
    84,476.82x = 126,743.38 × 28,322.48
  4. Step 4: Simplify right side
    84,476.82x = 3,589,686,845.18
  5. Step 5: Solve for x
    x = 3,589,686,845.18/84,476.82
  6. Step 6: Final answer
    x = 42,493.16

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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.