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Finding the Fourth Proportional to 65,227.32, 97,785.72 and 25,812.24

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Solution

The fourth proportional to 65,227.32, 97,785.72 and 25,812.24 is: 38,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,227.32 : 97,785.72 = 25,812.24 : x
  2. Step 2: Convert to fraction form
    65,227.32/97,785.72 = 25,812.24/x
  3. Step 3: Cross multiply
    65,227.32x = 97,785.72 × 25,812.24
  4. Step 4: Simplify right side
    65,227.32x = 2,524,068,473.21
  5. Step 5: Solve for x
    x = 2,524,068,473.21/65,227.32
  6. Step 6: Final answer
    x = 38,696.49

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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.