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Finding the Fourth Proportional to 83,503.64, 125,261.38 and 33,584

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Solution

The fourth proportional to 83,503.64, 125,261.38 and 33,584 is: 50,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,503.64 : 125,261.38 = 33,584 : x
  2. Step 2: Convert to fraction form
    83,503.64/125,261.38 = 33,584/x
  3. Step 3: Cross multiply
    83,503.64x = 125,261.38 × 33,584
  4. Step 4: Simplify right side
    83,503.64x = 4,206,778,185.92
  5. Step 5: Solve for x
    x = 4,206,778,185.92/83,503.64
  6. Step 6: Final answer
    x = 50,378.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.