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Finding the Fourth Proportional to 65,015.82, 89,706.60 and 38,156.94

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Solution

The fourth proportional to 65,015.82, 89,706.60 and 38,156.94 is: 52,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,015.82 : 89,706.60 = 38,156.94 : x
  2. Step 2: Convert to fraction form
    65,015.82/89,706.60 = 38,156.94/x
  3. Step 3: Cross multiply
    65,015.82x = 89,706.60 × 38,156.94
  4. Step 4: Simplify right side
    65,015.82x = 3,422,929,353.80
  5. Step 5: Solve for x
    x = 3,422,929,353.80/65,015.82
  6. Step 6: Final answer
    x = 52,647.64

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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.