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Finding the Fourth Proportional to 83,534.95, 125,273.25 and 33,602.09

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Solution

The fourth proportional to 83,534.95, 125,273.25 and 33,602.09 is: 50,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,534.95 : 125,273.25 = 33,602.09 : x
  2. Step 2: Convert to fraction form
    83,534.95/125,273.25 = 33,602.09/x
  3. Step 3: Cross multiply
    83,534.95x = 125,273.25 × 33,602.09
  4. Step 4: Simplify right side
    83,534.95x = 4,209,443,099.39
  5. Step 5: Solve for x
    x = 4,209,443,099.39/83,534.95
  6. Step 6: Final answer
    x = 50,391.40

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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.