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Finding the Fourth Proportional to 83,554.13, 125,300 and 33,617.36

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Solution

The fourth proportional to 83,554.13, 125,300 and 33,617.36 is: 50,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,554.13 : 125,300 = 33,617.36 : x
  2. Step 2: Convert to fraction form
    83,554.13/125,300 = 33,617.36/x
  3. Step 3: Cross multiply
    83,554.13x = 125,300 × 33,617.36
  4. Step 4: Simplify right side
    83,554.13x = 4,212,255,208
  5. Step 5: Solve for x
    x = 4,212,255,208/83,554.13
  6. Step 6: Final answer
    x = 50,413.49

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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.