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Finding the Fourth Proportional to 65,813, 90,824.10 and 36,005

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Solution

The fourth proportional to 65,813, 90,824.10 and 36,005 is: 49,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,813 : 90,824.10 = 36,005 : x
  2. Step 2: Convert to fraction form
    65,813/90,824.10 = 36,005/x
  3. Step 3: Cross multiply
    65,813x = 90,824.10 × 36,005
  4. Step 4: Simplify right side
    65,813x = 3,270,121,720.50
  5. Step 5: Solve for x
    x = 3,270,121,720.50/65,813
  6. Step 6: Final answer
    x = 49,688.08

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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.