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Finding the Fourth Proportional to 65,200, 89,981.72 and 36,519.20

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Solution

The fourth proportional to 65,200, 89,981.72 and 36,519.20 is: 50,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200 : 89,981.72 = 36,519.20 : x
  2. Step 2: Convert to fraction form
    65,200/89,981.72 = 36,519.20/x
  3. Step 3: Cross multiply
    65,200x = 89,981.72 × 36,519.20
  4. Step 4: Simplify right side
    65,200x = 3,286,060,429.02
  5. Step 5: Solve for x
    x = 3,286,060,429.02/65,200
  6. Step 6: Final answer
    x = 50,399.70

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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.