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Finding the Fourth Proportional to 43,204.25, 59,633.12 and 28,138.25

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Solution

The fourth proportional to 43,204.25, 59,633.12 and 28,138.25 is: 38,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,204.25 : 59,633.12 = 28,138.25 : x
  2. Step 2: Convert to fraction form
    43,204.25/59,633.12 = 28,138.25/x
  3. Step 3: Cross multiply
    43,204.25x = 59,633.12 × 28,138.25
  4. Step 4: Simplify right side
    43,204.25x = 1,677,971,858.27
  5. Step 5: Solve for x
    x = 1,677,971,858.27/43,204.25
  6. Step 6: Final answer
    x = 38,838.12

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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.