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Finding the Fourth Proportional to 65,022.03, 89,734.05 and 38,172.33

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Solution

The fourth proportional to 65,022.03, 89,734.05 and 38,172.33 is: 52,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.03 : 89,734.05 = 38,172.33 : x
  2. Step 2: Convert to fraction form
    65,022.03/89,734.05 = 38,172.33/x
  3. Step 3: Cross multiply
    65,022.03x = 89,734.05 × 38,172.33
  4. Step 4: Simplify right side
    65,022.03x = 3,425,357,768.84
  5. Step 5: Solve for x
    x = 3,425,357,768.84/65,022.03
  6. Step 6: Final answer
    x = 52,679.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.