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Finding the Fourth Proportional to 81,496.36, 122,204.22 and 28,897.96

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Solution

The fourth proportional to 81,496.36, 122,204.22 and 28,897.96 is: 43,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,496.36 : 122,204.22 = 28,897.96 : x
  2. Step 2: Convert to fraction form
    81,496.36/122,204.22 = 28,897.96/x
  3. Step 3: Cross multiply
    81,496.36x = 122,204.22 × 28,897.96
  4. Step 4: Simplify right side
    81,496.36x = 3,531,452,661.39
  5. Step 5: Solve for x
    x = 3,531,452,661.39/81,496.36
  6. Step 6: Final answer
    x = 43,332.64

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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.